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Finding the Fourth Proportional to 2,351.74, 3,238.01 and 1,996.92

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Solution

The fourth proportional to 2,351.74, 3,238.01 and 1,996.92 is: 2,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.74 : 3,238.01 = 1,996.92 : x
  2. Step 2: Convert to fraction form
    2,351.74/3,238.01 = 1,996.92/x
  3. Step 3: Cross multiply
    2,351.74x = 3,238.01 × 1,996.92
  4. Step 4: Simplify right side
    2,351.74x = 6,466,051.92
  5. Step 5: Solve for x
    x = 6,466,051.92/2,351.74
  6. Step 6: Final answer
    x = 2,749.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.