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Finding the Fourth Proportional to 2,759.43, 4,139.14 and 707.43

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Solution

The fourth proportional to 2,759.43, 4,139.14 and 707.43 is: 1,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.43 : 4,139.14 = 707.43 : x
  2. Step 2: Convert to fraction form
    2,759.43/4,139.14 = 707.43/x
  3. Step 3: Cross multiply
    2,759.43x = 4,139.14 × 707.43
  4. Step 4: Simplify right side
    2,759.43x = 2,928,151.81
  5. Step 5: Solve for x
    x = 2,928,151.81/2,759.43
  6. Step 6: Final answer
    x = 1,061.14

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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.