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Finding the Fourth Proportional to 2,742.57, 3,781.92 and 1,945.53

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Solution

The fourth proportional to 2,742.57, 3,781.92 and 1,945.53 is: 2,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.57 : 3,781.92 = 1,945.53 : x
  2. Step 2: Convert to fraction form
    2,742.57/3,781.92 = 1,945.53/x
  3. Step 3: Cross multiply
    2,742.57x = 3,781.92 × 1,945.53
  4. Step 4: Simplify right side
    2,742.57x = 7,357,838.82
  5. Step 5: Solve for x
    x = 7,357,838.82/2,742.57
  6. Step 6: Final answer
    x = 2,682.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.