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Finding the Fourth Proportional to 4,432.77, 6,650.30 and 1,659.66

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Solution

The fourth proportional to 4,432.77, 6,650.30 and 1,659.66 is: 2,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.77 : 6,650.30 = 1,659.66 : x
  2. Step 2: Convert to fraction form
    4,432.77/6,650.30 = 1,659.66/x
  3. Step 3: Cross multiply
    4,432.77x = 6,650.30 × 1,659.66
  4. Step 4: Simplify right side
    4,432.77x = 11,037,241.05
  5. Step 5: Solve for x
    x = 11,037,241.05/4,432.77
  6. Step 6: Final answer
    x = 2,489.92

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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.