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Finding the Fourth Proportional to 3,082.66, 4,254.07 and 1,905.78

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Solution

The fourth proportional to 3,082.66, 4,254.07 and 1,905.78 is: 2,629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.66 : 4,254.07 = 1,905.78 : x
  2. Step 2: Convert to fraction form
    3,082.66/4,254.07 = 1,905.78/x
  3. Step 3: Cross multiply
    3,082.66x = 4,254.07 × 1,905.78
  4. Step 4: Simplify right side
    3,082.66x = 8,107,321.52
  5. Step 5: Solve for x
    x = 8,107,321.52/3,082.66
  6. Step 6: Final answer
    x = 2,629.98

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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.