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Finding the Fourth Proportional to 2,195.76, 3,028.14 and 1,448.76

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Solution

The fourth proportional to 2,195.76, 3,028.14 and 1,448.76 is: 1,997.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.76 : 3,028.14 = 1,448.76 : x
  2. Step 2: Convert to fraction form
    2,195.76/3,028.14 = 1,448.76/x
  3. Step 3: Cross multiply
    2,195.76x = 3,028.14 × 1,448.76
  4. Step 4: Simplify right side
    2,195.76x = 4,387,048.11
  5. Step 5: Solve for x
    x = 4,387,048.11/2,195.76
  6. Step 6: Final answer
    x = 1,997.96

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Half scale
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Double scale
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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.