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Finding the Fourth Proportional to 2,532.49, 3,496.44 and 1,737.15

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Solution

The fourth proportional to 2,532.49, 3,496.44 and 1,737.15 is: 2,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.49 : 3,496.44 = 1,737.15 : x
  2. Step 2: Convert to fraction form
    2,532.49/3,496.44 = 1,737.15/x
  3. Step 3: Cross multiply
    2,532.49x = 3,496.44 × 1,737.15
  4. Step 4: Simplify right side
    2,532.49x = 6,073,829.26
  5. Step 5: Solve for x
    x = 6,073,829.26/2,532.49
  6. Step 6: Final answer
    x = 2,398.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.