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Finding the Fourth Proportional to 2,507.13, 3,760.56 and 775.71

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Solution

The fourth proportional to 2,507.13, 3,760.56 and 775.71 is: 1,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.13 : 3,760.56 = 775.71 : x
  2. Step 2: Convert to fraction form
    2,507.13/3,760.56 = 775.71/x
  3. Step 3: Cross multiply
    2,507.13x = 3,760.56 × 775.71
  4. Step 4: Simplify right side
    2,507.13x = 2,917,104.00
  5. Step 5: Solve for x
    x = 2,917,104.00/2,507.13
  6. Step 6: Final answer
    x = 1,163.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.