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Finding the Fourth Proportional to 2,274.43, 3,138.14 and 1,743.85

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Solution

The fourth proportional to 2,274.43, 3,138.14 and 1,743.85 is: 2,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.43 : 3,138.14 = 1,743.85 : x
  2. Step 2: Convert to fraction form
    2,274.43/3,138.14 = 1,743.85/x
  3. Step 3: Cross multiply
    2,274.43x = 3,138.14 × 1,743.85
  4. Step 4: Simplify right side
    2,274.43x = 5,472,462.55
  5. Step 5: Solve for x
    x = 5,472,462.55/2,274.43
  6. Step 6: Final answer
    x = 2,406.08

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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.