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Finding the Fourth Proportional to 2,787.56, 3,846.68 and 1,608.56

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Solution

The fourth proportional to 2,787.56, 3,846.68 and 1,608.56 is: 2,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.56 : 3,846.68 = 1,608.56 : x
  2. Step 2: Convert to fraction form
    2,787.56/3,846.68 = 1,608.56/x
  3. Step 3: Cross multiply
    2,787.56x = 3,846.68 × 1,608.56
  4. Step 4: Simplify right side
    2,787.56x = 6,187,615.58
  5. Step 5: Solve for x
    x = 6,187,615.58/2,787.56
  6. Step 6: Final answer
    x = 2,219.72

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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.