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Finding the Fourth Proportional to 2,682.39, 3,701.04 and 2,053.62

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Solution

The fourth proportional to 2,682.39, 3,701.04 and 2,053.62 is: 2,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.39 : 3,701.04 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    2,682.39/3,701.04 = 2,053.62/x
  3. Step 3: Cross multiply
    2,682.39x = 3,701.04 × 2,053.62
  4. Step 4: Simplify right side
    2,682.39x = 7,600,529.76
  5. Step 5: Solve for x
    x = 7,600,529.76/2,682.39
  6. Step 6: Final answer
    x = 2,833.49

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Half 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.