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Finding the Fourth Proportional to 2,019.70, 3,024.08 and 1,369.13

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Solution

The fourth proportional to 2,019.70, 3,024.08 and 1,369.13 is: 2,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.70 : 3,024.08 = 1,369.13 : x
  2. Step 2: Convert to fraction form
    2,019.70/3,024.08 = 1,369.13/x
  3. Step 3: Cross multiply
    2,019.70x = 3,024.08 × 1,369.13
  4. Step 4: Simplify right side
    2,019.70x = 4,140,351.80
  5. Step 5: Solve for x
    x = 4,140,351.80/2,019.70
  6. Step 6: Final answer
    x = 2,049.99

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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.