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Finding the Fourth Proportional to 1,434.27, 2,151.42 and 654.24

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Solution

The fourth proportional to 1,434.27, 2,151.42 and 654.24 is: 981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.27 : 2,151.42 = 654.24 : x
  2. Step 2: Convert to fraction form
    1,434.27/2,151.42 = 654.24/x
  3. Step 3: Cross multiply
    1,434.27x = 2,151.42 × 654.24
  4. Step 4: Simplify right side
    1,434.27x = 1,407,545.02
  5. Step 5: Solve for x
    x = 1,407,545.02/1,434.27
  6. Step 6: Final answer
    x = 981.37

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