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Finding the Fourth Proportional to 4,099.98, 6,150.86 and 1,178.06

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Solution

The fourth proportional to 4,099.98, 6,150.86 and 1,178.06 is: 1,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.98 : 6,150.86 = 1,178.06 : x
  2. Step 2: Convert to fraction form
    4,099.98/6,150.86 = 1,178.06/x
  3. Step 3: Cross multiply
    4,099.98x = 6,150.86 × 1,178.06
  4. Step 4: Simplify right side
    4,099.98x = 7,246,082.13
  5. Step 5: Solve for x
    x = 7,246,082.13/4,099.98
  6. Step 6: Final answer
    x = 1,767.35

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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.