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Finding the Fourth Proportional to 2,782.55, 3,839.10 and 2,432.03

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Solution

The fourth proportional to 2,782.55, 3,839.10 and 2,432.03 is: 3,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.55 : 3,839.10 = 2,432.03 : x
  2. Step 2: Convert to fraction form
    2,782.55/3,839.10 = 2,432.03/x
  3. Step 3: Cross multiply
    2,782.55x = 3,839.10 × 2,432.03
  4. Step 4: Simplify right side
    2,782.55x = 9,336,778.06
  5. Step 5: Solve for x
    x = 9,336,778.06/2,782.55
  6. Step 6: Final answer
    x = 3,355.47

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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.