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Finding the Fourth Proportional to 1,275.18, 1,760.94 and 1,206.15

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Solution

The fourth proportional to 1,275.18, 1,760.94 and 1,206.15 is: 1,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.18 : 1,760.94 = 1,206.15 : x
  2. Step 2: Convert to fraction form
    1,275.18/1,760.94 = 1,206.15/x
  3. Step 3: Cross multiply
    1,275.18x = 1,760.94 × 1,206.15
  4. Step 4: Simplify right side
    1,275.18x = 2,123,957.78
  5. Step 5: Solve for x
    x = 2,123,957.78/1,275.18
  6. Step 6: Final answer
    x = 1,665.61

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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.