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Finding the Fourth Proportional to 2,029.06, 3,043.62 and 568.13

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Solution

The fourth proportional to 2,029.06, 3,043.62 and 568.13 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.06 : 3,043.62 = 568.13 : x
  2. Step 2: Convert to fraction form
    2,029.06/3,043.62 = 568.13/x
  3. Step 3: Cross multiply
    2,029.06x = 3,043.62 × 568.13
  4. Step 4: Simplify right side
    2,029.06x = 1,729,171.83
  5. Step 5: Solve for x
    x = 1,729,171.83/2,029.06
  6. Step 6: Final answer
    x = 852.20

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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.