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Finding the Fourth Proportional to 2,594.96, 3,892.44 and 863.60

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Solution

The fourth proportional to 2,594.96, 3,892.44 and 863.60 is: 1,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.96 : 3,892.44 = 863.60 : x
  2. Step 2: Convert to fraction form
    2,594.96/3,892.44 = 863.60/x
  3. Step 3: Cross multiply
    2,594.96x = 3,892.44 × 863.60
  4. Step 4: Simplify right side
    2,594.96x = 3,361,511.18
  5. Step 5: Solve for x
    x = 3,361,511.18/2,594.96
  6. Step 6: Final answer
    x = 1,295.40

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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.