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Finding the Fourth Proportional to 3,257.92, 4,885.98 and 1,311.16

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Solution

The fourth proportional to 3,257.92, 4,885.98 and 1,311.16 is: 1,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.92 : 4,885.98 = 1,311.16 : x
  2. Step 2: Convert to fraction form
    3,257.92/4,885.98 = 1,311.16/x
  3. Step 3: Cross multiply
    3,257.92x = 4,885.98 × 1,311.16
  4. Step 4: Simplify right side
    3,257.92x = 6,406,301.54
  5. Step 5: Solve for x
    x = 6,406,301.54/3,257.92
  6. Step 6: Final answer
    x = 1,966.38

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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.