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Finding the Fourth Proportional to 2,028.29, 3,042 and 567.05

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Solution

The fourth proportional to 2,028.29, 3,042 and 567.05 is: 850.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.29 : 3,042 = 567.05 : x
  2. Step 2: Convert to fraction form
    2,028.29/3,042 = 567.05/x
  3. Step 3: Cross multiply
    2,028.29x = 3,042 × 567.05
  4. Step 4: Simplify right side
    2,028.29x = 1,724,950.89
  5. Step 5: Solve for x
    x = 1,724,950.89/2,028.29
  6. Step 6: Final answer
    x = 850.45

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Why These Related Problems?

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