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Finding the Fourth Proportional to 2,019.39, 3,029.48 and 720.83

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Solution

The fourth proportional to 2,019.39, 3,029.48 and 720.83 is: 1,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.39 : 3,029.48 = 720.83 : x
  2. Step 2: Convert to fraction form
    2,019.39/3,029.48 = 720.83/x
  3. Step 3: Cross multiply
    2,019.39x = 3,029.48 × 720.83
  4. Step 4: Simplify right side
    2,019.39x = 2,183,721.32
  5. Step 5: Solve for x
    x = 2,183,721.32/2,019.39
  6. Step 6: Final answer
    x = 1,081.38

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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.