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Finding the Fourth Proportional to 1,517.71, 2,095.74 and 1,266.52

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Solution

The fourth proportional to 1,517.71, 2,095.74 and 1,266.52 is: 1,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.71 : 2,095.74 = 1,266.52 : x
  2. Step 2: Convert to fraction form
    1,517.71/2,095.74 = 1,266.52/x
  3. Step 3: Cross multiply
    1,517.71x = 2,095.74 × 1,266.52
  4. Step 4: Simplify right side
    1,517.71x = 2,654,296.62
  5. Step 5: Solve for x
    x = 2,654,296.62/1,517.71
  6. Step 6: Final answer
    x = 1,748.88

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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.