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Finding the Fourth Proportional to 2,013.23, 3,019.98 and 552.26

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Solution

The fourth proportional to 2,013.23, 3,019.98 and 552.26 is: 828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.23 : 3,019.98 = 552.26 : x
  2. Step 2: Convert to fraction form
    2,013.23/3,019.98 = 552.26/x
  3. Step 3: Cross multiply
    2,013.23x = 3,019.98 × 552.26
  4. Step 4: Simplify right side
    2,013.23x = 1,667,814.15
  5. Step 5: Solve for x
    x = 1,667,814.15/2,013.23
  6. Step 6: Final answer
    x = 828.43

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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.