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Finding the Fourth Proportional to 3,174.81, 4,381.11 and 1,758.55

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Solution

The fourth proportional to 3,174.81, 4,381.11 and 1,758.55 is: 2,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.81 : 4,381.11 = 1,758.55 : x
  2. Step 2: Convert to fraction form
    3,174.81/4,381.11 = 1,758.55/x
  3. Step 3: Cross multiply
    3,174.81x = 4,381.11 × 1,758.55
  4. Step 4: Simplify right side
    3,174.81x = 7,704,406.47
  5. Step 5: Solve for x
    x = 7,704,406.47/3,174.81
  6. Step 6: Final answer
    x = 2,426.73

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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.