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Finding the Fourth Proportional to 2,019.53, 3,029.75 and 721

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Solution

The fourth proportional to 2,019.53, 3,029.75 and 721 is: 1,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.53 : 3,029.75 = 721 : x
  2. Step 2: Convert to fraction form
    2,019.53/3,029.75 = 721/x
  3. Step 3: Cross multiply
    2,019.53x = 3,029.75 × 721
  4. Step 4: Simplify right side
    2,019.53x = 2,184,449.75
  5. Step 5: Solve for x
    x = 2,184,449.75/2,019.53
  6. Step 6: Final answer
    x = 1,081.66

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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.