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Finding the Fourth Proportional to 2,028.99, 3,043.49 and 568.15

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Solution

The fourth proportional to 2,028.99, 3,043.49 and 568.15 is: 852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.99 : 3,043.49 = 568.15 : x
  2. Step 2: Convert to fraction form
    2,028.99/3,043.49 = 568.15/x
  3. Step 3: Cross multiply
    2,028.99x = 3,043.49 × 568.15
  4. Step 4: Simplify right side
    2,028.99x = 1,729,158.84
  5. Step 5: Solve for x
    x = 1,729,158.84/2,028.99
  6. Step 6: Final answer
    x = 852.23

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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.