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Finding the Fourth Proportional to 2,882.22, 3,975 and 2,322.50

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Solution

The fourth proportional to 2,882.22, 3,975 and 2,322.50 is: 3,203.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.22 : 3,975 = 2,322.50 : x
  2. Step 2: Convert to fraction form
    2,882.22/3,975 = 2,322.50/x
  3. Step 3: Cross multiply
    2,882.22x = 3,975 × 2,322.50
  4. Step 4: Simplify right side
    2,882.22x = 9,231,937.50
  5. Step 5: Solve for x
    x = 9,231,937.50/2,882.22
  6. Step 6: Final answer
    x = 3,203.06

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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.