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Finding the Fourth Proportional to 2,009.73, 3,013.50 and 913.49

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Solution

The fourth proportional to 2,009.73, 3,013.50 and 913.49 is: 1,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.73 : 3,013.50 = 913.49 : x
  2. Step 2: Convert to fraction form
    2,009.73/3,013.50 = 913.49/x
  3. Step 3: Cross multiply
    2,009.73x = 3,013.50 × 913.49
  4. Step 4: Simplify right side
    2,009.73x = 2,752,787.05
  5. Step 5: Solve for x
    x = 2,752,787.05/2,009.73
  6. Step 6: Final answer
    x = 1,369.73

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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.