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Finding the Fourth Proportional to 2,032.97, 3,049.65 and 734.13

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Solution

The fourth proportional to 2,032.97, 3,049.65 and 734.13 is: 1,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.97 : 3,049.65 = 734.13 : x
  2. Step 2: Convert to fraction form
    2,032.97/3,049.65 = 734.13/x
  3. Step 3: Cross multiply
    2,032.97x = 3,049.65 × 734.13
  4. Step 4: Simplify right side
    2,032.97x = 2,238,839.55
  5. Step 5: Solve for x
    x = 2,238,839.55/2,032.97
  6. Step 6: Final answer
    x = 1,101.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.