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Finding the Fourth Proportional to 2,787.54, 3,845.25 and 2,505.66

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Solution

The fourth proportional to 2,787.54, 3,845.25 and 2,505.66 is: 3,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.54 : 3,845.25 = 2,505.66 : x
  2. Step 2: Convert to fraction form
    2,787.54/3,845.25 = 2,505.66/x
  3. Step 3: Cross multiply
    2,787.54x = 3,845.25 × 2,505.66
  4. Step 4: Simplify right side
    2,787.54x = 9,634,889.12
  5. Step 5: Solve for x
    x = 9,634,889.12/2,787.54
  6. Step 6: Final answer
    x = 3,456.41

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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.