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Finding the Fourth Proportional to 3,013.68, 4,519.91 and 822.23

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Solution

The fourth proportional to 3,013.68, 4,519.91 and 822.23 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.68 : 4,519.91 = 822.23 : x
  2. Step 2: Convert to fraction form
    3,013.68/4,519.91 = 822.23/x
  3. Step 3: Cross multiply
    3,013.68x = 4,519.91 × 822.23
  4. Step 4: Simplify right side
    3,013.68x = 3,716,385.06
  5. Step 5: Solve for x
    x = 3,716,385.06/3,013.68
  6. Step 6: Final answer
    x = 1,233.17

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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.