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Finding the Fourth Proportional to 2,691.54, 4,036.86 and 936.54

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Solution

The fourth proportional to 2,691.54, 4,036.86 and 936.54 is: 1,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.54 : 4,036.86 = 936.54 : x
  2. Step 2: Convert to fraction form
    2,691.54/4,036.86 = 936.54/x
  3. Step 3: Cross multiply
    2,691.54x = 4,036.86 × 936.54
  4. Step 4: Simplify right side
    2,691.54x = 3,780,680.86
  5. Step 5: Solve for x
    x = 3,780,680.86/2,691.54
  6. Step 6: Final answer
    x = 1,404.65

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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.