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Finding the Fourth Proportional to 2,006.52, 2,993.97 and 1,787.28

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Solution

The fourth proportional to 2,006.52, 2,993.97 and 1,787.28 is: 2,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.52 : 2,993.97 = 1,787.28 : x
  2. Step 2: Convert to fraction form
    2,006.52/2,993.97 = 1,787.28/x
  3. Step 3: Cross multiply
    2,006.52x = 2,993.97 × 1,787.28
  4. Step 4: Simplify right side
    2,006.52x = 5,351,062.70
  5. Step 5: Solve for x
    x = 5,351,062.70/2,006.52
  6. Step 6: Final answer
    x = 2,666.84

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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.