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Finding the Fourth Proportional to 2,246.97, 3,369.24 and 686.52

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Solution

The fourth proportional to 2,246.97, 3,369.24 and 686.52 is: 1,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.97 : 3,369.24 = 686.52 : x
  2. Step 2: Convert to fraction form
    2,246.97/3,369.24 = 686.52/x
  3. Step 3: Cross multiply
    2,246.97x = 3,369.24 × 686.52
  4. Step 4: Simplify right side
    2,246.97x = 2,313,050.64
  5. Step 5: Solve for x
    x = 2,313,050.64/2,246.97
  6. Step 6: Final answer
    x = 1,029.41

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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.