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Finding the Fourth Proportional to 1,744.13, 2,615.69 and 511.31

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Solution

The fourth proportional to 1,744.13, 2,615.69 and 511.31 is: 766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.13 : 2,615.69 = 511.31 : x
  2. Step 2: Convert to fraction form
    1,744.13/2,615.69 = 511.31/x
  3. Step 3: Cross multiply
    1,744.13x = 2,615.69 × 511.31
  4. Step 4: Simplify right side
    1,744.13x = 1,337,436.27
  5. Step 5: Solve for x
    x = 1,337,436.27/1,744.13
  6. Step 6: Final answer
    x = 766.82

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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.