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Finding the Fourth Proportional to 2,801, 3,867.54 and 2,214.56

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Solution

The fourth proportional to 2,801, 3,867.54 and 2,214.56 is: 3,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801 : 3,867.54 = 2,214.56 : x
  2. Step 2: Convert to fraction form
    2,801/3,867.54 = 2,214.56/x
  3. Step 3: Cross multiply
    2,801x = 3,867.54 × 2,214.56
  4. Step 4: Simplify right side
    2,801x = 8,564,899.38
  5. Step 5: Solve for x
    x = 8,564,899.38/2,801
  6. Step 6: Final answer
    x = 3,057.80

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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.