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Finding the Fourth Proportional to 2,691.36, 4,036.91 and 936.50

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Solution

The fourth proportional to 2,691.36, 4,036.91 and 936.50 is: 1,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.36 : 4,036.91 = 936.50 : x
  2. Step 2: Convert to fraction form
    2,691.36/4,036.91 = 936.50/x
  3. Step 3: Cross multiply
    2,691.36x = 4,036.91 × 936.50
  4. Step 4: Simplify right side
    2,691.36x = 3,780,541.35
  5. Step 5: Solve for x
    x = 3,780,541.35/2,691.36
  6. Step 6: Final answer
    x = 1,404.70

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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.