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Finding the Fourth Proportional to 3,203.84, 4,419.96 and 2,156.24

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Solution

The fourth proportional to 3,203.84, 4,419.96 and 2,156.24 is: 2,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.84 : 4,419.96 = 2,156.24 : x
  2. Step 2: Convert to fraction form
    3,203.84/4,419.96 = 2,156.24/x
  3. Step 3: Cross multiply
    3,203.84x = 4,419.96 × 2,156.24
  4. Step 4: Simplify right side
    3,203.84x = 9,530,494.55
  5. Step 5: Solve for x
    x = 9,530,494.55/3,203.84
  6. Step 6: Final answer
    x = 2,974.71

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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.