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Finding the Fourth Proportional to 3,202.52, 4,421.52 and 2,207.48

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Solution

The fourth proportional to 3,202.52, 4,421.52 and 2,207.48 is: 3,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.52 : 4,421.52 = 2,207.48 : x
  2. Step 2: Convert to fraction form
    3,202.52/4,421.52 = 2,207.48/x
  3. Step 3: Cross multiply
    3,202.52x = 4,421.52 × 2,207.48
  4. Step 4: Simplify right side
    3,202.52x = 9,760,416.97
  5. Step 5: Solve for x
    x = 9,760,416.97/3,202.52
  6. Step 6: Final answer
    x = 3,047.73

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1.5x scale

Why These Related Problems?

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