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Finding the Fourth Proportional to 4,100.59, 6,149.46 and 1,178.11

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Solution

The fourth proportional to 4,100.59, 6,149.46 and 1,178.11 is: 1,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.59 : 6,149.46 = 1,178.11 : x
  2. Step 2: Convert to fraction form
    4,100.59/6,149.46 = 1,178.11/x
  3. Step 3: Cross multiply
    4,100.59x = 6,149.46 × 1,178.11
  4. Step 4: Simplify right side
    4,100.59x = 7,244,709.57
  5. Step 5: Solve for x
    x = 7,244,709.57/4,100.59
  6. Step 6: Final answer
    x = 1,766.75

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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.