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Finding the Fourth Proportional to 3,174.74, 4,381.67 and 1,849.22

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Solution

The fourth proportional to 3,174.74, 4,381.67 and 1,849.22 is: 2,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.74 : 4,381.67 = 1,849.22 : x
  2. Step 2: Convert to fraction form
    3,174.74/4,381.67 = 1,849.22/x
  3. Step 3: Cross multiply
    3,174.74x = 4,381.67 × 1,849.22
  4. Step 4: Simplify right side
    3,174.74x = 8,102,640.64
  5. Step 5: Solve for x
    x = 8,102,640.64/3,174.74
  6. Step 6: Final answer
    x = 2,552.23

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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.