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Finding the Fourth Proportional to 2,082.78, 3,126.65 and 1,650.30

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Solution

The fourth proportional to 2,082.78, 3,126.65 and 1,650.30 is: 2,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.78 : 3,126.65 = 1,650.30 : x
  2. Step 2: Convert to fraction form
    2,082.78/3,126.65 = 1,650.30/x
  3. Step 3: Cross multiply
    2,082.78x = 3,126.65 × 1,650.30
  4. Step 4: Simplify right side
    2,082.78x = 5,159,910.50
  5. Step 5: Solve for x
    x = 5,159,910.50/2,082.78
  6. Step 6: Final answer
    x = 2,477.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.