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Finding the Fourth Proportional to 2,782.98, 4,175.62 and 1,222.18

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Solution

The fourth proportional to 2,782.98, 4,175.62 and 1,222.18 is: 1,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.98 : 4,175.62 = 1,222.18 : x
  2. Step 2: Convert to fraction form
    2,782.98/4,175.62 = 1,222.18/x
  3. Step 3: Cross multiply
    2,782.98x = 4,175.62 × 1,222.18
  4. Step 4: Simplify right side
    2,782.98x = 5,103,359.25
  5. Step 5: Solve for x
    x = 5,103,359.25/2,782.98
  6. Step 6: Final answer
    x = 1,833.78

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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.