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Finding the Fourth Proportional to 2,174.40, 2,997.84 and 1,474.56

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Solution

The fourth proportional to 2,174.40, 2,997.84 and 1,474.56 is: 2,032.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.40 : 2,997.84 = 1,474.56 : x
  2. Step 2: Convert to fraction form
    2,174.40/2,997.84 = 1,474.56/x
  3. Step 3: Cross multiply
    2,174.40x = 2,997.84 × 1,474.56
  4. Step 4: Simplify right side
    2,174.40x = 4,420,494.95
  5. Step 5: Solve for x
    x = 4,420,494.95/2,174.40
  6. Step 6: Final answer
    x = 2,032.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.