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Finding the Fourth Proportional to 1,399.49, 2,097.41 and 1,073.27

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Solution

The fourth proportional to 1,399.49, 2,097.41 and 1,073.27 is: 1,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.49 : 2,097.41 = 1,073.27 : x
  2. Step 2: Convert to fraction form
    1,399.49/2,097.41 = 1,073.27/x
  3. Step 3: Cross multiply
    1,399.49x = 2,097.41 × 1,073.27
  4. Step 4: Simplify right side
    1,399.49x = 2,251,071.38
  5. Step 5: Solve for x
    x = 2,251,071.38/1,399.49
  6. Step 6: Final answer
    x = 1,608.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.