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Finding the Fourth Proportional to 4,432.02, 6,649.18 and 1,658.91

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Solution

The fourth proportional to 4,432.02, 6,649.18 and 1,658.91 is: 2,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.02 : 6,649.18 = 1,658.91 : x
  2. Step 2: Convert to fraction form
    4,432.02/6,649.18 = 1,658.91/x
  3. Step 3: Cross multiply
    4,432.02x = 6,649.18 × 1,658.91
  4. Step 4: Simplify right side
    4,432.02x = 11,030,362.11
  5. Step 5: Solve for x
    x = 11,030,362.11/4,432.02
  6. Step 6: Final answer
    x = 2,488.79

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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.