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Finding the Fourth Proportional to 2,400.57, 3,583.17 and 2,229.39

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Solution

The fourth proportional to 2,400.57, 3,583.17 and 2,229.39 is: 3,327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.57 : 3,583.17 = 2,229.39 : x
  2. Step 2: Convert to fraction form
    2,400.57/3,583.17 = 2,229.39/x
  3. Step 3: Cross multiply
    2,400.57x = 3,583.17 × 2,229.39
  4. Step 4: Simplify right side
    2,400.57x = 7,988,283.37
  5. Step 5: Solve for x
    x = 7,988,283.37/2,400.57
  6. Step 6: Final answer
    x = 3,327.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.