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Finding the Fourth Proportional to 2,028.61, 3,043.11 and 567.76

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Solution

The fourth proportional to 2,028.61, 3,043.11 and 567.76 is: 851.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.61 : 3,043.11 = 567.76 : x
  2. Step 2: Convert to fraction form
    2,028.61/3,043.11 = 567.76/x
  3. Step 3: Cross multiply
    2,028.61x = 3,043.11 × 567.76
  4. Step 4: Simplify right side
    2,028.61x = 1,727,756.13
  5. Step 5: Solve for x
    x = 1,727,756.13/2,028.61
  6. Step 6: Final answer
    x = 851.69

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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.