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Finding the Fourth Proportional to 2,028.84, 3,043.31 and 567.96

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Solution

The fourth proportional to 2,028.84, 3,043.31 and 567.96 is: 851.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.84 : 3,043.31 = 567.96 : x
  2. Step 2: Convert to fraction form
    2,028.84/3,043.31 = 567.96/x
  3. Step 3: Cross multiply
    2,028.84x = 3,043.31 × 567.96
  4. Step 4: Simplify right side
    2,028.84x = 1,728,475.51
  5. Step 5: Solve for x
    x = 1,728,475.51/2,028.84
  6. Step 6: Final answer
    x = 851.95

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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.