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Finding the Fourth Proportional to 3,207.92, 4,425.62 and 1,948.50

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Solution

The fourth proportional to 3,207.92, 4,425.62 and 1,948.50 is: 2,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.92 : 4,425.62 = 1,948.50 : x
  2. Step 2: Convert to fraction form
    3,207.92/4,425.62 = 1,948.50/x
  3. Step 3: Cross multiply
    3,207.92x = 4,425.62 × 1,948.50
  4. Step 4: Simplify right side
    3,207.92x = 8,623,320.57
  5. Step 5: Solve for x
    x = 8,623,320.57/3,207.92
  6. Step 6: Final answer
    x = 2,688.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.