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Finding the Fourth Proportional to 2,028.75, 3,042.66 and 568.01

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Solution

The fourth proportional to 2,028.75, 3,042.66 and 568.01 is: 851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.75 : 3,042.66 = 568.01 : x
  2. Step 2: Convert to fraction form
    2,028.75/3,042.66 = 568.01/x
  3. Step 3: Cross multiply
    2,028.75x = 3,042.66 × 568.01
  4. Step 4: Simplify right side
    2,028.75x = 1,728,271.04
  5. Step 5: Solve for x
    x = 1,728,271.04/2,028.75
  6. Step 6: Final answer
    x = 851.89

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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.