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Finding the Fourth Proportional to 3,117.92, 4,676.90 and 2,141.06

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Solution

The fourth proportional to 3,117.92, 4,676.90 and 2,141.06 is: 3,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.92 : 4,676.90 = 2,141.06 : x
  2. Step 2: Convert to fraction form
    3,117.92/4,676.90 = 2,141.06/x
  3. Step 3: Cross multiply
    3,117.92x = 4,676.90 × 2,141.06
  4. Step 4: Simplify right side
    3,117.92x = 10,013,489.42
  5. Step 5: Solve for x
    x = 10,013,489.42/3,117.92
  6. Step 6: Final answer
    x = 3,211.60

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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.