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Finding the Fourth Proportional to 2,863.85, 4,296.39 and 889.44

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Solution

The fourth proportional to 2,863.85, 4,296.39 and 889.44 is: 1,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.85 : 4,296.39 = 889.44 : x
  2. Step 2: Convert to fraction form
    2,863.85/4,296.39 = 889.44/x
  3. Step 3: Cross multiply
    2,863.85x = 4,296.39 × 889.44
  4. Step 4: Simplify right side
    2,863.85x = 3,821,381.12
  5. Step 5: Solve for x
    x = 3,821,381.12/2,863.85
  6. Step 6: Final answer
    x = 1,334.35

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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.