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Finding the Fourth Proportional to 1,362.52, 1,882.74 and 1,224.45

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Solution

The fourth proportional to 1,362.52, 1,882.74 and 1,224.45 is: 1,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.52 : 1,882.74 = 1,224.45 : x
  2. Step 2: Convert to fraction form
    1,362.52/1,882.74 = 1,224.45/x
  3. Step 3: Cross multiply
    1,362.52x = 1,882.74 × 1,224.45
  4. Step 4: Simplify right side
    1,362.52x = 2,305,325.58
  5. Step 5: Solve for x
    x = 2,305,325.58/1,362.52
  6. Step 6: Final answer
    x = 1,691.96

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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.