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Finding the Fourth Proportional to 2,642.82, 3,955.96 and 2,059.48

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Solution

The fourth proportional to 2,642.82, 3,955.96 and 2,059.48 is: 3,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.82 : 3,955.96 = 2,059.48 : x
  2. Step 2: Convert to fraction form
    2,642.82/3,955.96 = 2,059.48/x
  3. Step 3: Cross multiply
    2,642.82x = 3,955.96 × 2,059.48
  4. Step 4: Simplify right side
    2,642.82x = 8,147,220.50
  5. Step 5: Solve for x
    x = 8,147,220.50/2,642.82
  6. Step 6: Final answer
    x = 3,082.78

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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.