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Finding the Fourth Proportional to 2,026.44, 3,040.02 and 1,052.46

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Solution

The fourth proportional to 2,026.44, 3,040.02 and 1,052.46 is: 1,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.44 : 3,040.02 = 1,052.46 : x
  2. Step 2: Convert to fraction form
    2,026.44/3,040.02 = 1,052.46/x
  3. Step 3: Cross multiply
    2,026.44x = 3,040.02 × 1,052.46
  4. Step 4: Simplify right side
    2,026.44x = 3,199,499.45
  5. Step 5: Solve for x
    x = 3,199,499.45/2,026.44
  6. Step 6: Final answer
    x = 1,578.88

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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.