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Finding the Fourth Proportional to 2,567.34, 3,843.69 and 2,363.22

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Solution

The fourth proportional to 2,567.34, 3,843.69 and 2,363.22 is: 3,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.34 : 3,843.69 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    2,567.34/3,843.69 = 2,363.22/x
  3. Step 3: Cross multiply
    2,567.34x = 3,843.69 × 2,363.22
  4. Step 4: Simplify right side
    2,567.34x = 9,083,485.08
  5. Step 5: Solve for x
    x = 9,083,485.08/2,567.34
  6. Step 6: Final answer
    x = 3,538.09

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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.