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Finding the Fourth Proportional to 2,147.56, 3,220.98 and 686.50

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Solution

The fourth proportional to 2,147.56, 3,220.98 and 686.50 is: 1,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.56 : 3,220.98 = 686.50 : x
  2. Step 2: Convert to fraction form
    2,147.56/3,220.98 = 686.50/x
  3. Step 3: Cross multiply
    2,147.56x = 3,220.98 × 686.50
  4. Step 4: Simplify right side
    2,147.56x = 2,211,202.77
  5. Step 5: Solve for x
    x = 2,211,202.77/2,147.56
  6. Step 6: Final answer
    x = 1,029.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.