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Finding the Fourth Proportional to 1,275.72, 1,902.60 and 1,252.68

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Solution

The fourth proportional to 1,275.72, 1,902.60 and 1,252.68 is: 1,868.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.72 : 1,902.60 = 1,252.68 : x
  2. Step 2: Convert to fraction form
    1,275.72/1,902.60 = 1,252.68/x
  3. Step 3: Cross multiply
    1,275.72x = 1,902.60 × 1,252.68
  4. Step 4: Simplify right side
    1,275.72x = 2,383,348.97
  5. Step 5: Solve for x
    x = 2,383,348.97/1,275.72
  6. Step 6: Final answer
    x = 1,868.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.