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Finding the Fourth Proportional to 2,147.15, 3,220.72 and 686.41

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Solution

The fourth proportional to 2,147.15, 3,220.72 and 686.41 is: 1,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.15 : 3,220.72 = 686.41 : x
  2. Step 2: Convert to fraction form
    2,147.15/3,220.72 = 686.41/x
  3. Step 3: Cross multiply
    2,147.15x = 3,220.72 × 686.41
  4. Step 4: Simplify right side
    2,147.15x = 2,210,734.42
  5. Step 5: Solve for x
    x = 2,210,734.42/2,147.15
  6. Step 6: Final answer
    x = 1,029.62

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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.