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Finding the Fourth Proportional to 2,400.71, 3,600.93 and 757.22

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Solution

The fourth proportional to 2,400.71, 3,600.93 and 757.22 is: 1,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.71 : 3,600.93 = 757.22 : x
  2. Step 2: Convert to fraction form
    2,400.71/3,600.93 = 757.22/x
  3. Step 3: Cross multiply
    2,400.71x = 3,600.93 × 757.22
  4. Step 4: Simplify right side
    2,400.71x = 2,726,696.21
  5. Step 5: Solve for x
    x = 2,726,696.21/2,400.71
  6. Step 6: Final answer
    x = 1,135.79

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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.