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Finding the Fourth Proportional to 2,778.86, 4,165.52 and 1,299.62

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Solution

The fourth proportional to 2,778.86, 4,165.52 and 1,299.62 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.86 : 4,165.52 = 1,299.62 : x
  2. Step 2: Convert to fraction form
    2,778.86/4,165.52 = 1,299.62/x
  3. Step 3: Cross multiply
    2,778.86x = 4,165.52 × 1,299.62
  4. Step 4: Simplify right side
    2,778.86x = 5,413,593.10
  5. Step 5: Solve for x
    x = 5,413,593.10/2,778.86
  6. Step 6: Final answer
    x = 1,948.13

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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.