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Finding the Fourth Proportional to 2,507.20, 3,760.96 and 775.68

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Solution

The fourth proportional to 2,507.20, 3,760.96 and 775.68 is: 1,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.20 : 3,760.96 = 775.68 : x
  2. Step 2: Convert to fraction form
    2,507.20/3,760.96 = 775.68/x
  3. Step 3: Cross multiply
    2,507.20x = 3,760.96 × 775.68
  4. Step 4: Simplify right side
    2,507.20x = 2,917,301.45
  5. Step 5: Solve for x
    x = 2,917,301.45/2,507.20
  6. Step 6: Final answer
    x = 1,163.57

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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.