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Finding the Fourth Proportional to 2,507.31, 3,761.01 and 775.98

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Solution

The fourth proportional to 2,507.31, 3,761.01 and 775.98 is: 1,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.31 : 3,761.01 = 775.98 : x
  2. Step 2: Convert to fraction form
    2,507.31/3,761.01 = 775.98/x
  3. Step 3: Cross multiply
    2,507.31x = 3,761.01 × 775.98
  4. Step 4: Simplify right side
    2,507.31x = 2,918,468.54
  5. Step 5: Solve for x
    x = 2,918,468.54/2,507.31
  6. Step 6: Final answer
    x = 1,163.98

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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.