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Finding the Fourth Proportional to 3,174.77, 4,761.37 and 1,325.90

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Solution

The fourth proportional to 3,174.77, 4,761.37 and 1,325.90 is: 1,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.77 : 4,761.37 = 1,325.90 : x
  2. Step 2: Convert to fraction form
    3,174.77/4,761.37 = 1,325.90/x
  3. Step 3: Cross multiply
    3,174.77x = 4,761.37 × 1,325.90
  4. Step 4: Simplify right side
    3,174.77x = 6,313,100.48
  5. Step 5: Solve for x
    x = 6,313,100.48/3,174.77
  6. Step 6: Final answer
    x = 1,988.52

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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.