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Finding the Fourth Proportional to 4,516.80, 6,775.16 and 1,229.87

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Solution

The fourth proportional to 4,516.80, 6,775.16 and 1,229.87 is: 1,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.80 : 6,775.16 = 1,229.87 : x
  2. Step 2: Convert to fraction form
    4,516.80/6,775.16 = 1,229.87/x
  3. Step 3: Cross multiply
    4,516.80x = 6,775.16 × 1,229.87
  4. Step 4: Simplify right side
    4,516.80x = 8,332,526.00
  5. Step 5: Solve for x
    x = 8,332,526.00/4,516.80
  6. Step 6: Final answer
    x = 1,844.79

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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.