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Finding the Fourth Proportional to 2,782.06, 4,175.15 and 2,240.78

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Solution

The fourth proportional to 2,782.06, 4,175.15 and 2,240.78 is: 3,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.06 : 4,175.15 = 2,240.78 : x
  2. Step 2: Convert to fraction form
    2,782.06/4,175.15 = 2,240.78/x
  3. Step 3: Cross multiply
    2,782.06x = 4,175.15 × 2,240.78
  4. Step 4: Simplify right side
    2,782.06x = 9,355,560.54
  5. Step 5: Solve for x
    x = 9,355,560.54/2,782.06
  6. Step 6: Final answer
    x = 3,362.82

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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.