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Finding the Fourth Proportional to 2,731.62, 4,095.17 and 1,064.92

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Solution

The fourth proportional to 2,731.62, 4,095.17 and 1,064.92 is: 1,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.62 : 4,095.17 = 1,064.92 : x
  2. Step 2: Convert to fraction form
    2,731.62/4,095.17 = 1,064.92/x
  3. Step 3: Cross multiply
    2,731.62x = 4,095.17 × 1,064.92
  4. Step 4: Simplify right side
    2,731.62x = 4,361,028.44
  5. Step 5: Solve for x
    x = 4,361,028.44/2,731.62
  6. Step 6: Final answer
    x = 1,596.50

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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.