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Finding the Fourth Proportional to 3,174.00, 4,377.41 and 1,914.79

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Solution

The fourth proportional to 3,174.00, 4,377.41 and 1,914.79 is: 2,640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.00 : 4,377.41 = 1,914.79 : x
  2. Step 2: Convert to fraction form
    3,174.00/4,377.41 = 1,914.79/x
  3. Step 3: Cross multiply
    3,174.00x = 4,377.41 × 1,914.79
  4. Step 4: Simplify right side
    3,174.00x = 8,381,815.76
  5. Step 5: Solve for x
    x = 8,381,815.76/3,174.00
  6. Step 6: Final answer
    x = 2,640.77

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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.