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Finding the Fourth Proportional to 2,742.18, 4,113.66 and 892.71

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Solution

The fourth proportional to 2,742.18, 4,113.66 and 892.71 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.18 : 4,113.66 = 892.71 : x
  2. Step 2: Convert to fraction form
    2,742.18/4,113.66 = 892.71/x
  3. Step 3: Cross multiply
    2,742.18x = 4,113.66 × 892.71
  4. Step 4: Simplify right side
    2,742.18x = 3,672,305.42
  5. Step 5: Solve for x
    x = 3,672,305.42/2,742.18
  6. Step 6: Final answer
    x = 1,339.19

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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.