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Finding the Fourth Proportional to 4,432.48, 6,648.89 and 1,658.86

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Solution

The fourth proportional to 4,432.48, 6,648.89 and 1,658.86 is: 2,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.48 : 6,648.89 = 1,658.86 : x
  2. Step 2: Convert to fraction form
    4,432.48/6,648.89 = 1,658.86/x
  3. Step 3: Cross multiply
    4,432.48x = 6,648.89 × 1,658.86
  4. Step 4: Simplify right side
    4,432.48x = 11,029,552.75
  5. Step 5: Solve for x
    x = 11,029,552.75/4,432.48
  6. Step 6: Final answer
    x = 2,488.35

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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.