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Finding the Fourth Proportional to 2,424.40, 3,635.70 and 863.80

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Solution

The fourth proportional to 2,424.40, 3,635.70 and 863.80 is: 1,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.40 : 3,635.70 = 863.80 : x
  2. Step 2: Convert to fraction form
    2,424.40/3,635.70 = 863.80/x
  3. Step 3: Cross multiply
    2,424.40x = 3,635.70 × 863.80
  4. Step 4: Simplify right side
    2,424.40x = 3,140,517.66
  5. Step 5: Solve for x
    x = 3,140,517.66/2,424.40
  6. Step 6: Final answer
    x = 1,295.38

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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.