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Finding the Fourth Proportional to 1,387.14, 1,908.27 and 1,199.22

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Solution

The fourth proportional to 1,387.14, 1,908.27 and 1,199.22 is: 1,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.14 : 1,908.27 = 1,199.22 : x
  2. Step 2: Convert to fraction form
    1,387.14/1,908.27 = 1,199.22/x
  3. Step 3: Cross multiply
    1,387.14x = 1,908.27 × 1,199.22
  4. Step 4: Simplify right side
    1,387.14x = 2,288,435.55
  5. Step 5: Solve for x
    x = 2,288,435.55/1,387.14
  6. Step 6: Final answer
    x = 1,649.75

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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.