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Finding the Fourth Proportional to 2,323.85, 3,487.34 and 863.15

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Solution

The fourth proportional to 2,323.85, 3,487.34 and 863.15 is: 1,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.85 : 3,487.34 = 863.15 : x
  2. Step 2: Convert to fraction form
    2,323.85/3,487.34 = 863.15/x
  3. Step 3: Cross multiply
    2,323.85x = 3,487.34 × 863.15
  4. Step 4: Simplify right side
    2,323.85x = 3,010,101.92
  5. Step 5: Solve for x
    x = 3,010,101.92/2,323.85
  6. Step 6: Final answer
    x = 1,295.31

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