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Finding the Fourth Proportional to 4,576.92, 6,866.19 and 1,659.30

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Solution

The fourth proportional to 4,576.92, 6,866.19 and 1,659.30 is: 2,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.92 : 6,866.19 = 1,659.30 : x
  2. Step 2: Convert to fraction form
    4,576.92/6,866.19 = 1,659.30/x
  3. Step 3: Cross multiply
    4,576.92x = 6,866.19 × 1,659.30
  4. Step 4: Simplify right side
    4,576.92x = 11,393,069.07
  5. Step 5: Solve for x
    x = 11,393,069.07/4,576.92
  6. Step 6: Final answer
    x = 2,489.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.