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Finding the Fourth Proportional to 2,778.92, 4,167.51 and 929.60

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Solution

The fourth proportional to 2,778.92, 4,167.51 and 929.60 is: 1,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.92 : 4,167.51 = 929.60 : x
  2. Step 2: Convert to fraction form
    2,778.92/4,167.51 = 929.60/x
  3. Step 3: Cross multiply
    2,778.92x = 4,167.51 × 929.60
  4. Step 4: Simplify right side
    2,778.92x = 3,874,117.30
  5. Step 5: Solve for x
    x = 3,874,117.30/2,778.92
  6. Step 6: Final answer
    x = 1,394.11

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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.