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Finding the Fourth Proportional to 3,174.06, 4,761.81 and 1,200.54

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Solution

The fourth proportional to 3,174.06, 4,761.81 and 1,200.54 is: 1,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.06 : 4,761.81 = 1,200.54 : x
  2. Step 2: Convert to fraction form
    3,174.06/4,761.81 = 1,200.54/x
  3. Step 3: Cross multiply
    3,174.06x = 4,761.81 × 1,200.54
  4. Step 4: Simplify right side
    3,174.06x = 5,716,743.38
  5. Step 5: Solve for x
    x = 5,716,743.38/3,174.06
  6. Step 6: Final answer
    x = 1,801.08

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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.