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Finding the Fourth Proportional to 2,028.76, 3,040.94 and 1,040.22

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Solution

The fourth proportional to 2,028.76, 3,040.94 and 1,040.22 is: 1,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.76 : 3,040.94 = 1,040.22 : x
  2. Step 2: Convert to fraction form
    2,028.76/3,040.94 = 1,040.22/x
  3. Step 3: Cross multiply
    2,028.76x = 3,040.94 × 1,040.22
  4. Step 4: Simplify right side
    2,028.76x = 3,163,246.61
  5. Step 5: Solve for x
    x = 3,163,246.61/2,028.76
  6. Step 6: Final answer
    x = 1,559.20

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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.