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Finding the Fourth Proportional to 2,507.44, 3,761.69 and 752.38

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Solution

The fourth proportional to 2,507.44, 3,761.69 and 752.38 is: 1,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.44 : 3,761.69 = 752.38 : x
  2. Step 2: Convert to fraction form
    2,507.44/3,761.69 = 752.38/x
  3. Step 3: Cross multiply
    2,507.44x = 3,761.69 × 752.38
  4. Step 4: Simplify right side
    2,507.44x = 2,830,220.32
  5. Step 5: Solve for x
    x = 2,830,220.32/2,507.44
  6. Step 6: Final answer
    x = 1,128.73

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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.