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Finding the Fourth Proportional to 2,863.90, 4,296.39 and 1,014.80

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Solution

The fourth proportional to 2,863.90, 4,296.39 and 1,014.80 is: 1,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.90 : 4,296.39 = 1,014.80 : x
  2. Step 2: Convert to fraction form
    2,863.90/4,296.39 = 1,014.80/x
  3. Step 3: Cross multiply
    2,863.90x = 4,296.39 × 1,014.80
  4. Step 4: Simplify right side
    2,863.90x = 4,359,976.57
  5. Step 5: Solve for x
    x = 4,359,976.57/2,863.90
  6. Step 6: Final answer
    x = 1,522.39

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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.