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Finding the Fourth Proportional to 3,233.70, 4,460.85 and 2,100.96

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Solution

The fourth proportional to 3,233.70, 4,460.85 and 2,100.96 is: 2,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.70 : 4,460.85 = 2,100.96 : x
  2. Step 2: Convert to fraction form
    3,233.70/4,460.85 = 2,100.96/x
  3. Step 3: Cross multiply
    3,233.70x = 4,460.85 × 2,100.96
  4. Step 4: Simplify right side
    3,233.70x = 9,372,067.42
  5. Step 5: Solve for x
    x = 9,372,067.42/3,233.70
  6. Step 6: Final answer
    x = 2,898.25

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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.