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Finding the Fourth Proportional to 2,383.16, 3,567.52 and 2,163.78

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Solution

The fourth proportional to 2,383.16, 3,567.52 and 2,163.78 is: 3,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.16 : 3,567.52 = 2,163.78 : x
  2. Step 2: Convert to fraction form
    2,383.16/3,567.52 = 2,163.78/x
  3. Step 3: Cross multiply
    2,383.16x = 3,567.52 × 2,163.78
  4. Step 4: Simplify right side
    2,383.16x = 7,719,323.02
  5. Step 5: Solve for x
    x = 7,719,323.02/2,383.16
  6. Step 6: Final answer
    x = 3,239.12

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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.