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Finding the Fourth Proportional to 2,773.72, 4,161.17 and 924.72

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Solution

The fourth proportional to 2,773.72, 4,161.17 and 924.72 is: 1,387.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.72 : 4,161.17 = 924.72 : x
  2. Step 2: Convert to fraction form
    2,773.72/4,161.17 = 924.72/x
  3. Step 3: Cross multiply
    2,773.72x = 4,161.17 × 924.72
  4. Step 4: Simplify right side
    2,773.72x = 3,847,917.12
  5. Step 5: Solve for x
    x = 3,847,917.12/2,773.72
  6. Step 6: Final answer
    x = 1,387.28

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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.