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Finding the Fourth Proportional to 2,029.14, 3,043.80 and 568.14

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Solution

The fourth proportional to 2,029.14, 3,043.80 and 568.14 is: 852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.14 : 3,043.80 = 568.14 : x
  2. Step 2: Convert to fraction form
    2,029.14/3,043.80 = 568.14/x
  3. Step 3: Cross multiply
    2,029.14x = 3,043.80 × 568.14
  4. Step 4: Simplify right side
    2,029.14x = 1,729,304.53
  5. Step 5: Solve for x
    x = 1,729,304.53/2,029.14
  6. Step 6: Final answer
    x = 852.24

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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.