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Finding the Fourth Proportional to 4,099.97, 6,151.00 and 1,178.28

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Solution

The fourth proportional to 4,099.97, 6,151.00 and 1,178.28 is: 1,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.97 : 6,151.00 = 1,178.28 : x
  2. Step 2: Convert to fraction form
    4,099.97/6,151.00 = 1,178.28/x
  3. Step 3: Cross multiply
    4,099.97x = 6,151.00 × 1,178.28
  4. Step 4: Simplify right side
    4,099.97x = 7,247,597.33
  5. Step 5: Solve for x
    x = 7,247,597.33/4,099.97
  6. Step 6: Final answer
    x = 1,767.72

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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.