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Finding the Fourth Proportional to 2,325.27, 3,487.82 and 863.85

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Solution

The fourth proportional to 2,325.27, 3,487.82 and 863.85 is: 1,295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.27 : 3,487.82 = 863.85 : x
  2. Step 2: Convert to fraction form
    2,325.27/3,487.82 = 863.85/x
  3. Step 3: Cross multiply
    2,325.27x = 3,487.82 × 863.85
  4. Step 4: Simplify right side
    2,325.27x = 3,012,948.99
  5. Step 5: Solve for x
    x = 3,012,948.99/2,325.27
  6. Step 6: Final answer
    x = 1,295.74

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1.5x scale

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.