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Finding the Fourth Proportional to 2,680.52, 4,013.10 and 1,647.56

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Solution

The fourth proportional to 2,680.52, 4,013.10 and 1,647.56 is: 2,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.52 : 4,013.10 = 1,647.56 : x
  2. Step 2: Convert to fraction form
    2,680.52/4,013.10 = 1,647.56/x
  3. Step 3: Cross multiply
    2,680.52x = 4,013.10 × 1,647.56
  4. Step 4: Simplify right side
    2,680.52x = 6,611,823.04
  5. Step 5: Solve for x
    x = 6,611,823.04/2,680.52
  6. Step 6: Final answer
    x = 2,466.62

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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.