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Finding the Fourth Proportional to 2,028.96, 3,043.09 and 567.77

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Solution

The fourth proportional to 2,028.96, 3,043.09 and 567.77 is: 851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.96 : 3,043.09 = 567.77 : x
  2. Step 2: Convert to fraction form
    2,028.96/3,043.09 = 567.77/x
  3. Step 3: Cross multiply
    2,028.96x = 3,043.09 × 567.77
  4. Step 4: Simplify right side
    2,028.96x = 1,727,760.70
  5. Step 5: Solve for x
    x = 1,727,760.70/2,028.96
  6. Step 6: Final answer
    x = 851.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.