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Finding the Fourth Proportional to 2,028.14, 3,041.93 and 567.44

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Solution

The fourth proportional to 2,028.14, 3,041.93 and 567.44 is: 851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.14 : 3,041.93 = 567.44 : x
  2. Step 2: Convert to fraction form
    2,028.14/3,041.93 = 567.44/x
  3. Step 3: Cross multiply
    2,028.14x = 3,041.93 × 567.44
  4. Step 4: Simplify right side
    2,028.14x = 1,726,112.76
  5. Step 5: Solve for x
    x = 1,726,112.76/2,028.14
  6. Step 6: Final answer
    x = 851.08

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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.