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Finding the Fourth Proportional to 2,882.24, 3,967.87 and 2,749.99

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Solution

The fourth proportional to 2,882.24, 3,967.87 and 2,749.99 is: 3,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.24 : 3,967.87 = 2,749.99 : x
  2. Step 2: Convert to fraction form
    2,882.24/3,967.87 = 2,749.99/x
  3. Step 3: Cross multiply
    2,882.24x = 3,967.87 × 2,749.99
  4. Step 4: Simplify right side
    2,882.24x = 10,911,602.82
  5. Step 5: Solve for x
    x = 10,911,602.82/2,882.24
  6. Step 6: Final answer
    x = 3,785.81

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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.