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Finding the Fourth Proportional to 2,028.15, 3,042.36 and 567.30

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Solution

The fourth proportional to 2,028.15, 3,042.36 and 567.30 is: 850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.15 : 3,042.36 = 567.30 : x
  2. Step 2: Convert to fraction form
    2,028.15/3,042.36 = 567.30/x
  3. Step 3: Cross multiply
    2,028.15x = 3,042.36 × 567.30
  4. Step 4: Simplify right side
    2,028.15x = 1,725,930.83
  5. Step 5: Solve for x
    x = 1,725,930.83/2,028.15
  6. Step 6: Final answer
    x = 850.99

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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.