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Finding the Fourth Proportional to 2,019.83, 3,029.92 and 721.31

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Solution

The fourth proportional to 2,019.83, 3,029.92 and 721.31 is: 1,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.83 : 3,029.92 = 721.31 : x
  2. Step 2: Convert to fraction form
    2,019.83/3,029.92 = 721.31/x
  3. Step 3: Cross multiply
    2,019.83x = 3,029.92 × 721.31
  4. Step 4: Simplify right side
    2,019.83x = 2,185,494.64
  5. Step 5: Solve for x
    x = 2,185,494.64/2,019.83
  6. Step 6: Final answer
    x = 1,082.02

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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.