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Finding the Fourth Proportional to 2,607.92, 3,930.22 and 2,348.24

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Solution

The fourth proportional to 2,607.92, 3,930.22 and 2,348.24 is: 3,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.92 : 3,930.22 = 2,348.24 : x
  2. Step 2: Convert to fraction form
    2,607.92/3,930.22 = 2,348.24/x
  3. Step 3: Cross multiply
    2,607.92x = 3,930.22 × 2,348.24
  4. Step 4: Simplify right side
    2,607.92x = 9,229,099.81
  5. Step 5: Solve for x
    x = 9,229,099.81/2,607.92
  6. Step 6: Final answer
    x = 3,538.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.