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Finding the Fourth Proportional to 2,019.70, 3,029.73 and 721.18

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Solution

The fourth proportional to 2,019.70, 3,029.73 and 721.18 is: 1,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.70 : 3,029.73 = 721.18 : x
  2. Step 2: Convert to fraction form
    2,019.70/3,029.73 = 721.18/x
  3. Step 3: Cross multiply
    2,019.70x = 3,029.73 × 721.18
  4. Step 4: Simplify right side
    2,019.70x = 2,184,980.68
  5. Step 5: Solve for x
    x = 2,184,980.68/2,019.70
  6. Step 6: Final answer
    x = 1,081.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.