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Finding the Fourth Proportional to 3,098.52, 4,647.84 and 1,224.36

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Solution

The fourth proportional to 3,098.52, 4,647.84 and 1,224.36 is: 1,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.52 : 4,647.84 = 1,224.36 : x
  2. Step 2: Convert to fraction form
    3,098.52/4,647.84 = 1,224.36/x
  3. Step 3: Cross multiply
    3,098.52x = 4,647.84 × 1,224.36
  4. Step 4: Simplify right side
    3,098.52x = 5,690,629.38
  5. Step 5: Solve for x
    x = 5,690,629.38/3,098.52
  6. Step 6: Final answer
    x = 1,836.56

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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.