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Finding the Fourth Proportional to 3,098.25, 4,646.16 and 1,149.12

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Solution

The fourth proportional to 3,098.25, 4,646.16 and 1,149.12 is: 1,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.25 : 4,646.16 = 1,149.12 : x
  2. Step 2: Convert to fraction form
    3,098.25/4,646.16 = 1,149.12/x
  3. Step 3: Cross multiply
    3,098.25x = 4,646.16 × 1,149.12
  4. Step 4: Simplify right side
    3,098.25x = 5,338,995.38
  5. Step 5: Solve for x
    x = 5,338,995.38/3,098.25
  6. Step 6: Final answer
    x = 1,723.23

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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.