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Finding the Fourth Proportional to 4,432.72, 6,648.92 and 1,658.46

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Solution

The fourth proportional to 4,432.72, 6,648.92 and 1,658.46 is: 2,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.72 : 6,648.92 = 1,658.46 : x
  2. Step 2: Convert to fraction form
    4,432.72/6,648.92 = 1,658.46/x
  3. Step 3: Cross multiply
    4,432.72x = 6,648.92 × 1,658.46
  4. Step 4: Simplify right side
    4,432.72x = 11,026,967.86
  5. Step 5: Solve for x
    x = 11,026,967.86/4,432.72
  6. Step 6: Final answer
    x = 2,487.63

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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.