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Finding the Fourth Proportional to 2,500.74, 3,450.02 and 1,616.22

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Solution

The fourth proportional to 2,500.74, 3,450.02 and 1,616.22 is: 2,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.74 : 3,450.02 = 1,616.22 : x
  2. Step 2: Convert to fraction form
    2,500.74/3,450.02 = 1,616.22/x
  3. Step 3: Cross multiply
    2,500.74x = 3,450.02 × 1,616.22
  4. Step 4: Simplify right side
    2,500.74x = 5,575,983.24
  5. Step 5: Solve for x
    x = 5,575,983.24/2,500.74
  6. Step 6: Final answer
    x = 2,229.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.