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Finding the Fourth Proportional to 2,032.80, 3,049.64 and 627.22

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Solution

The fourth proportional to 2,032.80, 3,049.64 and 627.22 is: 940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.80 : 3,049.64 = 627.22 : x
  2. Step 2: Convert to fraction form
    2,032.80/3,049.64 = 627.22/x
  3. Step 3: Cross multiply
    2,032.80x = 3,049.64 × 627.22
  4. Step 4: Simplify right side
    2,032.80x = 1,912,795.20
  5. Step 5: Solve for x
    x = 1,912,795.20/2,032.80
  6. Step 6: Final answer
    x = 940.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.