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Finding the Fourth Proportional to 1,275.24, 1,760.22 and 1,102.44

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Solution

The fourth proportional to 1,275.24, 1,760.22 and 1,102.44 is: 1,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.24 : 1,760.22 = 1,102.44 : x
  2. Step 2: Convert to fraction form
    1,275.24/1,760.22 = 1,102.44/x
  3. Step 3: Cross multiply
    1,275.24x = 1,760.22 × 1,102.44
  4. Step 4: Simplify right side
    1,275.24x = 1,940,536.94
  5. Step 5: Solve for x
    x = 1,940,536.94/1,275.24
  6. Step 6: Final answer
    x = 1,521.70

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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.