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Finding the Fourth Proportional to 2,029.10, 3,043.64 and 568.28

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Solution

The fourth proportional to 2,029.10, 3,043.64 and 568.28 is: 852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.10 : 3,043.64 = 568.28 : x
  2. Step 2: Convert to fraction form
    2,029.10/3,043.64 = 568.28/x
  3. Step 3: Cross multiply
    2,029.10x = 3,043.64 × 568.28
  4. Step 4: Simplify right side
    2,029.10x = 1,729,639.74
  5. Step 5: Solve for x
    x = 1,729,639.74/2,029.10
  6. Step 6: Final answer
    x = 852.42

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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.