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Finding the Fourth Proportional to 3,174.67, 4,380.98 and 1,758.45

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Solution

The fourth proportional to 3,174.67, 4,380.98 and 1,758.45 is: 2,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.67 : 4,380.98 = 1,758.45 : x
  2. Step 2: Convert to fraction form
    3,174.67/4,380.98 = 1,758.45/x
  3. Step 3: Cross multiply
    3,174.67x = 4,380.98 × 1,758.45
  4. Step 4: Simplify right side
    3,174.67x = 7,703,734.28
  5. Step 5: Solve for x
    x = 7,703,734.28/3,174.67
  6. Step 6: Final answer
    x = 2,426.63

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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.