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Finding the Fourth Proportional to 2,200.74, 3,302.28 and 1,616.88

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Solution

The fourth proportional to 2,200.74, 3,302.28 and 1,616.88 is: 2,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.74 : 3,302.28 = 1,616.88 : x
  2. Step 2: Convert to fraction form
    2,200.74/3,302.28 = 1,616.88/x
  3. Step 3: Cross multiply
    2,200.74x = 3,302.28 × 1,616.88
  4. Step 4: Simplify right side
    2,200.74x = 5,339,390.49
  5. Step 5: Solve for x
    x = 5,339,390.49/2,200.74
  6. Step 6: Final answer
    x = 2,426.18

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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.