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Finding the Fourth Proportional to 2,147.10, 3,214.89 and 1,280.22

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Solution

The fourth proportional to 2,147.10, 3,214.89 and 1,280.22 is: 1,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.10 : 3,214.89 = 1,280.22 : x
  2. Step 2: Convert to fraction form
    2,147.10/3,214.89 = 1,280.22/x
  3. Step 3: Cross multiply
    2,147.10x = 3,214.89 × 1,280.22
  4. Step 4: Simplify right side
    2,147.10x = 4,115,766.48
  5. Step 5: Solve for x
    x = 4,115,766.48/2,147.10
  6. Step 6: Final answer
    x = 1,916.90

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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.