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Finding the Fourth Proportional to 2,687.78, 4,032.15 and 1,227.08

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Solution

The fourth proportional to 2,687.78, 4,032.15 and 1,227.08 is: 1,840.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.78 : 4,032.15 = 1,227.08 : x
  2. Step 2: Convert to fraction form
    2,687.78/4,032.15 = 1,227.08/x
  3. Step 3: Cross multiply
    2,687.78x = 4,032.15 × 1,227.08
  4. Step 4: Simplify right side
    2,687.78x = 4,947,772.81
  5. Step 5: Solve for x
    x = 4,947,772.81/2,687.78
  6. Step 6: Final answer
    x = 1,840.84

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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.