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Finding the Fourth Proportional to 2,507.20, 3,761.55 and 752.22

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Solution

The fourth proportional to 2,507.20, 3,761.55 and 752.22 is: 1,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.20 : 3,761.55 = 752.22 : x
  2. Step 2: Convert to fraction form
    2,507.20/3,761.55 = 752.22/x
  3. Step 3: Cross multiply
    2,507.20x = 3,761.55 × 752.22
  4. Step 4: Simplify right side
    2,507.20x = 2,829,513.14
  5. Step 5: Solve for x
    x = 2,829,513.14/2,507.20
  6. Step 6: Final answer
    x = 1,128.56

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1.5x scale

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.