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Finding the Fourth Proportional to 1,254.68, 1,727.49 and 1,105.20

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Solution

The fourth proportional to 1,254.68, 1,727.49 and 1,105.20 is: 1,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.68 : 1,727.49 = 1,105.20 : x
  2. Step 2: Convert to fraction form
    1,254.68/1,727.49 = 1,105.20/x
  3. Step 3: Cross multiply
    1,254.68x = 1,727.49 × 1,105.20
  4. Step 4: Simplify right side
    1,254.68x = 1,909,221.95
  5. Step 5: Solve for x
    x = 1,909,221.95/1,254.68
  6. Step 6: Final answer
    x = 1,521.68

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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.