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Finding the Fourth Proportional to 4,098.94, 6,149.44 and 1,177.25

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Solution

The fourth proportional to 4,098.94, 6,149.44 and 1,177.25 is: 1,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.94 : 6,149.44 = 1,177.25 : x
  2. Step 2: Convert to fraction form
    4,098.94/6,149.44 = 1,177.25/x
  3. Step 3: Cross multiply
    4,098.94x = 6,149.44 × 1,177.25
  4. Step 4: Simplify right side
    4,098.94x = 7,239,426.93
  5. Step 5: Solve for x
    x = 7,239,426.93/4,098.94
  6. Step 6: Final answer
    x = 1,766.17

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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.