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Finding the Fourth Proportional to 4,282.90, 6,414.09 and 2,197.42

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Solution

The fourth proportional to 4,282.90, 6,414.09 and 2,197.42 is: 3,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.90 : 6,414.09 = 2,197.42 : x
  2. Step 2: Convert to fraction form
    4,282.90/6,414.09 = 2,197.42/x
  3. Step 3: Cross multiply
    4,282.90x = 6,414.09 × 2,197.42
  4. Step 4: Simplify right side
    4,282.90x = 14,094,449.65
  5. Step 5: Solve for x
    x = 14,094,449.65/4,282.90
  6. Step 6: Final answer
    x = 3,290.87

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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.