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Finding the Fourth Proportional to 2,863.95, 4,289.80 and 2,162.90

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Solution

The fourth proportional to 2,863.95, 4,289.80 and 2,162.90 is: 3,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.95 : 4,289.80 = 2,162.90 : x
  2. Step 2: Convert to fraction form
    2,863.95/4,289.80 = 2,162.90/x
  3. Step 3: Cross multiply
    2,863.95x = 4,289.80 × 2,162.90
  4. Step 4: Simplify right side
    2,863.95x = 9,278,408.42
  5. Step 5: Solve for x
    x = 9,278,408.42/2,863.95
  6. Step 6: Final answer
    x = 3,239.72

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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.