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Finding the Fourth Proportional to 2,993.76, 4,132.80 and 1,799.28

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Solution

The fourth proportional to 2,993.76, 4,132.80 and 1,799.28 is: 2,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.76 : 4,132.80 = 1,799.28 : x
  2. Step 2: Convert to fraction form
    2,993.76/4,132.80 = 1,799.28/x
  3. Step 3: Cross multiply
    2,993.76x = 4,132.80 × 1,799.28
  4. Step 4: Simplify right side
    2,993.76x = 7,436,064.38
  5. Step 5: Solve for x
    x = 7,436,064.38/2,993.76
  6. Step 6: Final answer
    x = 2,483.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.