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Finding the Fourth Proportional to 2,276.40, 3,412.17 and 1,626.78

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Solution

The fourth proportional to 2,276.40, 3,412.17 and 1,626.78 is: 2,438.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.40 : 3,412.17 = 1,626.78 : x
  2. Step 2: Convert to fraction form
    2,276.40/3,412.17 = 1,626.78/x
  3. Step 3: Cross multiply
    2,276.40x = 3,412.17 × 1,626.78
  4. Step 4: Simplify right side
    2,276.40x = 5,550,849.91
  5. Step 5: Solve for x
    x = 5,550,849.91/2,276.40
  6. Step 6: Final answer
    x = 2,438.43

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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.