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Finding the Fourth Proportional to 2,026.68, 3,040.96 and 1,052.24

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Solution

The fourth proportional to 2,026.68, 3,040.96 and 1,052.24 is: 1,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.68 : 3,040.96 = 1,052.24 : x
  2. Step 2: Convert to fraction form
    2,026.68/3,040.96 = 1,052.24/x
  3. Step 3: Cross multiply
    2,026.68x = 3,040.96 × 1,052.24
  4. Step 4: Simplify right side
    2,026.68x = 3,199,819.75
  5. Step 5: Solve for x
    x = 3,199,819.75/2,026.68
  6. Step 6: Final answer
    x = 1,578.85

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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.