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Finding the Fourth Proportional to 1,747.52, 2,409.18 and 1,274.48

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Solution

The fourth proportional to 1,747.52, 2,409.18 and 1,274.48 is: 1,757.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.52 : 2,409.18 = 1,274.48 : x
  2. Step 2: Convert to fraction form
    1,747.52/2,409.18 = 1,274.48/x
  3. Step 3: Cross multiply
    1,747.52x = 2,409.18 × 1,274.48
  4. Step 4: Simplify right side
    1,747.52x = 3,070,451.73
  5. Step 5: Solve for x
    x = 3,070,451.73/1,747.52
  6. Step 6: Final answer
    x = 1,757.03

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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.