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Finding the Fourth Proportional to 2,594.04, 3,891.12 and 862.56

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Solution

The fourth proportional to 2,594.04, 3,891.12 and 862.56 is: 1,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.04 : 3,891.12 = 862.56 : x
  2. Step 2: Convert to fraction form
    2,594.04/3,891.12 = 862.56/x
  3. Step 3: Cross multiply
    2,594.04x = 3,891.12 × 862.56
  4. Step 4: Simplify right side
    2,594.04x = 3,356,324.47
  5. Step 5: Solve for x
    x = 3,356,324.47/2,594.04
  6. Step 6: Final answer
    x = 1,293.86

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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.