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Finding the Fourth Proportional to 2,013.45, 3,019.97 and 552.83

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Solution

The fourth proportional to 2,013.45, 3,019.97 and 552.83 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.45 : 3,019.97 = 552.83 : x
  2. Step 2: Convert to fraction form
    2,013.45/3,019.97 = 552.83/x
  3. Step 3: Cross multiply
    2,013.45x = 3,019.97 × 552.83
  4. Step 4: Simplify right side
    2,013.45x = 1,669,512.15
  5. Step 5: Solve for x
    x = 1,669,512.15/2,013.45
  6. Step 6: Final answer
    x = 829.18

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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.