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Finding the Fourth Proportional to 2,864.46, 4,289.19 and 2,306.22

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Solution

The fourth proportional to 2,864.46, 4,289.19 and 2,306.22 is: 3,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.46 : 4,289.19 = 2,306.22 : x
  2. Step 2: Convert to fraction form
    2,864.46/4,289.19 = 2,306.22/x
  3. Step 3: Cross multiply
    2,864.46x = 4,289.19 × 2,306.22
  4. Step 4: Simplify right side
    2,864.46x = 9,891,815.76
  5. Step 5: Solve for x
    x = 9,891,815.76/2,864.46
  6. Step 6: Final answer
    x = 3,453.29

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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.