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Finding the Fourth Proportional to 2,829.96, 3,909.24 and 2,168.28

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Solution

The fourth proportional to 2,829.96, 3,909.24 and 2,168.28 is: 2,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.96 : 3,909.24 = 2,168.28 : x
  2. Step 2: Convert to fraction form
    2,829.96/3,909.24 = 2,168.28/x
  3. Step 3: Cross multiply
    2,829.96x = 3,909.24 × 2,168.28
  4. Step 4: Simplify right side
    2,829.96x = 8,476,326.91
  5. Step 5: Solve for x
    x = 8,476,326.91/2,829.96
  6. Step 6: Final answer
    x = 2,995.21

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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.