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Finding the Fourth Proportional to 2,024.39, 3,040.54 and 1,914.03

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Solution

The fourth proportional to 2,024.39, 3,040.54 and 1,914.03 is: 2,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.39 : 3,040.54 = 1,914.03 : x
  2. Step 2: Convert to fraction form
    2,024.39/3,040.54 = 1,914.03/x
  3. Step 3: Cross multiply
    2,024.39x = 3,040.54 × 1,914.03
  4. Step 4: Simplify right side
    2,024.39x = 5,819,679.99
  5. Step 5: Solve for x
    x = 5,819,679.99/2,024.39
  6. Step 6: Final answer
    x = 2,874.78

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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.