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Finding the Fourth Proportional to 3,174.97, 4,381.36 and 1,758.72

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Solution

The fourth proportional to 3,174.97, 4,381.36 and 1,758.72 is: 2,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.97 : 4,381.36 = 1,758.72 : x
  2. Step 2: Convert to fraction form
    3,174.97/4,381.36 = 1,758.72/x
  3. Step 3: Cross multiply
    3,174.97x = 4,381.36 × 1,758.72
  4. Step 4: Simplify right side
    3,174.97x = 7,705,585.46
  5. Step 5: Solve for x
    x = 7,705,585.46/3,174.97
  6. Step 6: Final answer
    x = 2,426.98

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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.