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Finding the Fourth Proportional to 2,469.30, 3,689.90 and 1,772.70

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Solution

The fourth proportional to 2,469.30, 3,689.90 and 1,772.70 is: 2,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.30 : 3,689.90 = 1,772.70 : x
  2. Step 2: Convert to fraction form
    2,469.30/3,689.90 = 1,772.70/x
  3. Step 3: Cross multiply
    2,469.30x = 3,689.90 × 1,772.70
  4. Step 4: Simplify right side
    2,469.30x = 6,541,076.87
  5. Step 5: Solve for x
    x = 6,541,076.87/2,469.30
  6. Step 6: Final answer
    x = 2,648.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.