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Finding the Fourth Proportional to 4,098.69, 6,149.25 and 1,177.02

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Solution

The fourth proportional to 4,098.69, 6,149.25 and 1,177.02 is: 1,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.69 : 6,149.25 = 1,177.02 : x
  2. Step 2: Convert to fraction form
    4,098.69/6,149.25 = 1,177.02/x
  3. Step 3: Cross multiply
    4,098.69x = 6,149.25 × 1,177.02
  4. Step 4: Simplify right side
    4,098.69x = 7,237,790.24
  5. Step 5: Solve for x
    x = 7,237,790.24/4,098.69
  6. Step 6: Final answer
    x = 1,765.88

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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.