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Finding the Fourth Proportional to 1,599.54, 2,207.37 and 936.27

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Solution

The fourth proportional to 1,599.54, 2,207.37 and 936.27 is: 1,292.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.54 : 2,207.37 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,599.54/2,207.37 = 936.27/x
  3. Step 3: Cross multiply
    1,599.54x = 2,207.37 × 936.27
  4. Step 4: Simplify right side
    1,599.54x = 2,066,694.31
  5. Step 5: Solve for x
    x = 2,066,694.31/1,599.54
  6. Step 6: Final answer
    x = 1,292.06

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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.