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Finding the Fourth Proportional to 2,563.89, 3,841.92 and 1,521.84

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Solution

The fourth proportional to 2,563.89, 3,841.92 and 1,521.84 is: 2,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.89 : 3,841.92 = 1,521.84 : x
  2. Step 2: Convert to fraction form
    2,563.89/3,841.92 = 1,521.84/x
  3. Step 3: Cross multiply
    2,563.89x = 3,841.92 × 1,521.84
  4. Step 4: Simplify right side
    2,563.89x = 5,846,787.53
  5. Step 5: Solve for x
    x = 5,846,787.53/2,563.89
  6. Step 6: Final answer
    x = 2,280.44

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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.