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Finding the Fourth Proportional to 2,028.24, 2,799.24 and 1,505.76

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Solution

The fourth proportional to 2,028.24, 2,799.24 and 1,505.76 is: 2,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.24 : 2,799.24 = 1,505.76 : x
  2. Step 2: Convert to fraction form
    2,028.24/2,799.24 = 1,505.76/x
  3. Step 3: Cross multiply
    2,028.24x = 2,799.24 × 1,505.76
  4. Step 4: Simplify right side
    2,028.24x = 4,214,983.62
  5. Step 5: Solve for x
    x = 4,214,983.62/2,028.24
  6. Step 6: Final answer
    x = 2,078.15

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