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Finding the Fourth Proportional to 3,220.12, 4,443.78 and 1,823.14

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Solution

The fourth proportional to 3,220.12, 4,443.78 and 1,823.14 is: 2,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.12 : 4,443.78 = 1,823.14 : x
  2. Step 2: Convert to fraction form
    3,220.12/4,443.78 = 1,823.14/x
  3. Step 3: Cross multiply
    3,220.12x = 4,443.78 × 1,823.14
  4. Step 4: Simplify right side
    3,220.12x = 8,101,633.07
  5. Step 5: Solve for x
    x = 8,101,633.07/3,220.12
  6. Step 6: Final answer
    x = 2,515.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.