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Finding the Fourth Proportional to 2,029.25, 3,044.02 and 568.35

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Solution

The fourth proportional to 2,029.25, 3,044.02 and 568.35 is: 852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.25 : 3,044.02 = 568.35 : x
  2. Step 2: Convert to fraction form
    2,029.25/3,044.02 = 568.35/x
  3. Step 3: Cross multiply
    2,029.25x = 3,044.02 × 568.35
  4. Step 4: Simplify right side
    2,029.25x = 1,730,053.55
  5. Step 5: Solve for x
    x = 1,730,053.55/2,029.25
  6. Step 6: Final answer
    x = 852.56

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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.