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Finding the Fourth Proportional to 2,099.26, 3,148.88 and 1,000.29

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Solution

The fourth proportional to 2,099.26, 3,148.88 and 1,000.29 is: 1,500.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.26 : 3,148.88 = 1,000.29 : x
  2. Step 2: Convert to fraction form
    2,099.26/3,148.88 = 1,000.29/x
  3. Step 3: Cross multiply
    2,099.26x = 3,148.88 × 1,000.29
  4. Step 4: Simplify right side
    2,099.26x = 3,149,787.80
  5. Step 5: Solve for x
    x = 3,149,787.80/2,099.26
  6. Step 6: Final answer
    x = 1,500.43

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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.