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Finding the Fourth Proportional to 2,029.38, 3,043.74 and 568.56

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Solution

The fourth proportional to 2,029.38, 3,043.74 and 568.56 is: 852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.38 : 3,043.74 = 568.56 : x
  2. Step 2: Convert to fraction form
    2,029.38/3,043.74 = 568.56/x
  3. Step 3: Cross multiply
    2,029.38x = 3,043.74 × 568.56
  4. Step 4: Simplify right side
    2,029.38x = 1,730,548.81
  5. Step 5: Solve for x
    x = 1,730,548.81/2,029.38
  6. Step 6: Final answer
    x = 852.75

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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.