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Finding the Fourth Proportional to 2,432.88, 3,650.31 and 1,133.55

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Solution

The fourth proportional to 2,432.88, 3,650.31 and 1,133.55 is: 1,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.88 : 3,650.31 = 1,133.55 : x
  2. Step 2: Convert to fraction form
    2,432.88/3,650.31 = 1,133.55/x
  3. Step 3: Cross multiply
    2,432.88x = 3,650.31 × 1,133.55
  4. Step 4: Simplify right side
    2,432.88x = 4,137,808.90
  5. Step 5: Solve for x
    x = 4,137,808.90/2,432.88
  6. Step 6: Final answer
    x = 1,700.79

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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.