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Finding the Fourth Proportional to 4,125.92, 6,191.91 and 1,660.88

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Solution

The fourth proportional to 4,125.92, 6,191.91 and 1,660.88 is: 2,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.92 : 6,191.91 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    4,125.92/6,191.91 = 1,660.88/x
  3. Step 3: Cross multiply
    4,125.92x = 6,191.91 × 1,660.88
  4. Step 4: Simplify right side
    4,125.92x = 10,284,034.96
  5. Step 5: Solve for x
    x = 10,284,034.96/4,125.92
  6. Step 6: Final answer
    x = 2,492.55

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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.