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Finding the Fourth Proportional to 2,306.88, 3,186.14 and 2,107.22

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Solution

The fourth proportional to 2,306.88, 3,186.14 and 2,107.22 is: 2,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.88 : 3,186.14 = 2,107.22 : x
  2. Step 2: Convert to fraction form
    2,306.88/3,186.14 = 2,107.22/x
  3. Step 3: Cross multiply
    2,306.88x = 3,186.14 × 2,107.22
  4. Step 4: Simplify right side
    2,306.88x = 6,713,871.46
  5. Step 5: Solve for x
    x = 6,713,871.46/2,306.88
  6. Step 6: Final answer
    x = 2,910.37

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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.