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Finding the Fourth Proportional to 2,317.75, 3,198.50 and 1,269.82

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Solution

The fourth proportional to 2,317.75, 3,198.50 and 1,269.82 is: 1,752.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.75 : 3,198.50 = 1,269.82 : x
  2. Step 2: Convert to fraction form
    2,317.75/3,198.50 = 1,269.82/x
  3. Step 3: Cross multiply
    2,317.75x = 3,198.50 × 1,269.82
  4. Step 4: Simplify right side
    2,317.75x = 4,061,496.93
  5. Step 5: Solve for x
    x = 4,061,496.93/2,317.75
  6. Step 6: Final answer
    x = 1,752.34

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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.