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Finding the Fourth Proportional to 2,594.62, 3,892.47 and 863.38

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Solution

The fourth proportional to 2,594.62, 3,892.47 and 863.38 is: 1,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.62 : 3,892.47 = 863.38 : x
  2. Step 2: Convert to fraction form
    2,594.62/3,892.47 = 863.38/x
  3. Step 3: Cross multiply
    2,594.62x = 3,892.47 × 863.38
  4. Step 4: Simplify right side
    2,594.62x = 3,360,680.75
  5. Step 5: Solve for x
    x = 3,360,680.75/2,594.62
  6. Step 6: Final answer
    x = 1,295.25

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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.