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Finding the Fourth Proportional to 3,019.12, 4,524.66 and 1,633

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Solution

The fourth proportional to 3,019.12, 4,524.66 and 1,633 is: 2,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.12 : 4,524.66 = 1,633 : x
  2. Step 2: Convert to fraction form
    3,019.12/4,524.66 = 1,633/x
  3. Step 3: Cross multiply
    3,019.12x = 4,524.66 × 1,633
  4. Step 4: Simplify right side
    3,019.12x = 7,388,769.78
  5. Step 5: Solve for x
    x = 7,388,769.78/3,019.12
  6. Step 6: Final answer
    x = 2,447.33

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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.