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Finding the Fourth Proportional to 2,233.78, 3,082.96 and 2,135.34

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Solution

The fourth proportional to 2,233.78, 3,082.96 and 2,135.34 is: 2,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.78 : 3,082.96 = 2,135.34 : x
  2. Step 2: Convert to fraction form
    2,233.78/3,082.96 = 2,135.34/x
  3. Step 3: Cross multiply
    2,233.78x = 3,082.96 × 2,135.34
  4. Step 4: Simplify right side
    2,233.78x = 6,583,167.81
  5. Step 5: Solve for x
    x = 6,583,167.81/2,233.78
  6. Step 6: Final answer
    x = 2,947.10

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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.