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Finding the Fourth Proportional to 2,028.72, 2,799.72 and 1,330.80

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Solution

The fourth proportional to 2,028.72, 2,799.72 and 1,330.80 is: 1,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.72 : 2,799.72 = 1,330.80 : x
  2. Step 2: Convert to fraction form
    2,028.72/2,799.72 = 1,330.80/x
  3. Step 3: Cross multiply
    2,028.72x = 2,799.72 × 1,330.80
  4. Step 4: Simplify right side
    2,028.72x = 3,725,867.38
  5. Step 5: Solve for x
    x = 3,725,867.38/2,028.72
  6. Step 6: Final answer
    x = 1,836.56

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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.