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Finding the Fourth Proportional to 2,742.25, 4,111.32 and 892.26

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Solution

The fourth proportional to 2,742.25, 4,111.32 and 892.26 is: 1,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.25 : 4,111.32 = 892.26 : x
  2. Step 2: Convert to fraction form
    2,742.25/4,111.32 = 892.26/x
  3. Step 3: Cross multiply
    2,742.25x = 4,111.32 × 892.26
  4. Step 4: Simplify right side
    2,742.25x = 3,668,366.38
  5. Step 5: Solve for x
    x = 3,668,366.38/2,742.25
  6. Step 6: Final answer
    x = 1,337.72

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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.