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Finding the Fourth Proportional to 2,911.65, 4,022.22 and 2,321.43

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Solution

The fourth proportional to 2,911.65, 4,022.22 and 2,321.43 is: 3,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.65 : 4,022.22 = 2,321.43 : x
  2. Step 2: Convert to fraction form
    2,911.65/4,022.22 = 2,321.43/x
  3. Step 3: Cross multiply
    2,911.65x = 4,022.22 × 2,321.43
  4. Step 4: Simplify right side
    2,911.65x = 9,337,302.17
  5. Step 5: Solve for x
    x = 9,337,302.17/2,911.65
  6. Step 6: Final answer
    x = 3,206.88

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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.