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Finding the Fourth Proportional to 2,233.49, 3,082.11 and 1,289.45

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Solution

The fourth proportional to 2,233.49, 3,082.11 and 1,289.45 is: 1,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.49 : 3,082.11 = 1,289.45 : x
  2. Step 2: Convert to fraction form
    2,233.49/3,082.11 = 1,289.45/x
  3. Step 3: Cross multiply
    2,233.49x = 3,082.11 × 1,289.45
  4. Step 4: Simplify right side
    2,233.49x = 3,974,212.27
  5. Step 5: Solve for x
    x = 3,974,212.27/2,233.49
  6. Step 6: Final answer
    x = 1,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.