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Finding the Fourth Proportional to 2,147.69, 3,221.93 and 686.45

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Solution

The fourth proportional to 2,147.69, 3,221.93 and 686.45 is: 1,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.69 : 3,221.93 = 686.45 : x
  2. Step 2: Convert to fraction form
    2,147.69/3,221.93 = 686.45/x
  3. Step 3: Cross multiply
    2,147.69x = 3,221.93 × 686.45
  4. Step 4: Simplify right side
    2,147.69x = 2,211,679.45
  5. Step 5: Solve for x
    x = 2,211,679.45/2,147.69
  6. Step 6: Final answer
    x = 1,029.80

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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.