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Finding the Fourth Proportional to 2,742.29, 4,112.35 and 892.95

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Solution

The fourth proportional to 2,742.29, 4,112.35 and 892.95 is: 1,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.29 : 4,112.35 = 892.95 : x
  2. Step 2: Convert to fraction form
    2,742.29/4,112.35 = 892.95/x
  3. Step 3: Cross multiply
    2,742.29x = 4,112.35 × 892.95
  4. Step 4: Simplify right side
    2,742.29x = 3,672,122.93
  5. Step 5: Solve for x
    x = 3,672,122.93/2,742.29
  6. Step 6: Final answer
    x = 1,339.07

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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.