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Finding the Fourth Proportional to 2,029.48, 3,043.86 and 568.28

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Solution

The fourth proportional to 2,029.48, 3,043.86 and 568.28 is: 852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.48 : 3,043.86 = 568.28 : x
  2. Step 2: Convert to fraction form
    2,029.48/3,043.86 = 568.28/x
  3. Step 3: Cross multiply
    2,029.48x = 3,043.86 × 568.28
  4. Step 4: Simplify right side
    2,029.48x = 1,729,764.76
  5. Step 5: Solve for x
    x = 1,729,764.76/2,029.48
  6. Step 6: Final answer
    x = 852.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.