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Finding the Fourth Proportional to 2,778.13, 4,167.85 and 929.26

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Solution

The fourth proportional to 2,778.13, 4,167.85 and 929.26 is: 1,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.13 : 4,167.85 = 929.26 : x
  2. Step 2: Convert to fraction form
    2,778.13/4,167.85 = 929.26/x
  3. Step 3: Cross multiply
    2,778.13x = 4,167.85 × 929.26
  4. Step 4: Simplify right side
    2,778.13x = 3,873,016.29
  5. Step 5: Solve for x
    x = 3,873,016.29/2,778.13
  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.