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Finding the Fourth Proportional to 2,171.98, 3,257.30 and 785.15

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Solution

The fourth proportional to 2,171.98, 3,257.30 and 785.15 is: 1,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.98 : 3,257.30 = 785.15 : x
  2. Step 2: Convert to fraction form
    2,171.98/3,257.30 = 785.15/x
  3. Step 3: Cross multiply
    2,171.98x = 3,257.30 × 785.15
  4. Step 4: Simplify right side
    2,171.98x = 2,557,469.10
  5. Step 5: Solve for x
    x = 2,557,469.10/2,171.98
  6. Step 6: Final answer
    x = 1,177.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.