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Finding the Fourth Proportional to 1,243.28, 1,869.24 and 1,148.24

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Solution

The fourth proportional to 1,243.28, 1,869.24 and 1,148.24 is: 1,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.28 : 1,869.24 = 1,148.24 : x
  2. Step 2: Convert to fraction form
    1,243.28/1,869.24 = 1,148.24/x
  3. Step 3: Cross multiply
    1,243.28x = 1,869.24 × 1,148.24
  4. Step 4: Simplify right side
    1,243.28x = 2,146,336.14
  5. Step 5: Solve for x
    x = 2,146,336.14/1,243.28
  6. Step 6: Final answer
    x = 1,726.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.