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Finding the Fourth Proportional to 2,742.57, 4,111.79 and 892.58

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Solution

The fourth proportional to 2,742.57, 4,111.79 and 892.58 is: 1,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.57 : 4,111.79 = 892.58 : x
  2. Step 2: Convert to fraction form
    2,742.57/4,111.79 = 892.58/x
  3. Step 3: Cross multiply
    2,742.57x = 4,111.79 × 892.58
  4. Step 4: Simplify right side
    2,742.57x = 3,670,101.52
  5. Step 5: Solve for x
    x = 3,670,101.52/2,742.57
  6. Step 6: Final answer
    x = 1,338.20

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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.