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Finding the Fourth Proportional to 2,432.68, 3,349.56 and 2,038.84

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Solution

The fourth proportional to 2,432.68, 3,349.56 and 2,038.84 is: 2,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.68 : 3,349.56 = 2,038.84 : x
  2. Step 2: Convert to fraction form
    2,432.68/3,349.56 = 2,038.84/x
  3. Step 3: Cross multiply
    2,432.68x = 3,349.56 × 2,038.84
  4. Step 4: Simplify right side
    2,432.68x = 6,829,216.91
  5. Step 5: Solve for x
    x = 6,829,216.91/2,432.68
  6. Step 6: Final answer
    x = 2,807.28

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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.