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Finding the Fourth Proportional to 2,028.84, 3,043.32 and 567.92

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Solution

The fourth proportional to 2,028.84, 3,043.32 and 567.92 is: 851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.84 : 3,043.32 = 567.92 : x
  2. Step 2: Convert to fraction form
    2,028.84/3,043.32 = 567.92/x
  3. Step 3: Cross multiply
    2,028.84x = 3,043.32 × 567.92
  4. Step 4: Simplify right side
    2,028.84x = 1,728,362.29
  5. Step 5: Solve for x
    x = 1,728,362.29/2,028.84
  6. Step 6: Final answer
    x = 851.90

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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.