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Finding the Fourth Proportional to 2,028.51, 3,042.81 and 567.68

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Solution

The fourth proportional to 2,028.51, 3,042.81 and 567.68 is: 851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.51 : 3,042.81 = 567.68 : x
  2. Step 2: Convert to fraction form
    2,028.51/3,042.81 = 567.68/x
  3. Step 3: Cross multiply
    2,028.51x = 3,042.81 × 567.68
  4. Step 4: Simplify right side
    2,028.51x = 1,727,327.17
  5. Step 5: Solve for x
    x = 1,727,327.17/2,028.51
  6. Step 6: Final answer
    x = 851.53

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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.