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Finding the Fourth Proportional to 2,797.54, 4,171.88 and 2,452.48

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Solution

The fourth proportional to 2,797.54, 4,171.88 and 2,452.48 is: 3,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.54 : 4,171.88 = 2,452.48 : x
  2. Step 2: Convert to fraction form
    2,797.54/4,171.88 = 2,452.48/x
  3. Step 3: Cross multiply
    2,797.54x = 4,171.88 × 2,452.48
  4. Step 4: Simplify right side
    2,797.54x = 10,231,452.26
  5. Step 5: Solve for x
    x = 10,231,452.26/2,797.54
  6. Step 6: Final answer
    x = 3,657.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.