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Finding the Fourth Proportional to 2,289.48, 3,432.87 and 1,248.90

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Solution

The fourth proportional to 2,289.48, 3,432.87 and 1,248.90 is: 1,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.48 : 3,432.87 = 1,248.90 : x
  2. Step 2: Convert to fraction form
    2,289.48/3,432.87 = 1,248.90/x
  3. Step 3: Cross multiply
    2,289.48x = 3,432.87 × 1,248.90
  4. Step 4: Simplify right side
    2,289.48x = 4,287,311.34
  5. Step 5: Solve for x
    x = 4,287,311.34/2,289.48
  6. Step 6: Final answer
    x = 1,872.61

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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.