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Finding the Fourth Proportional to 2,785.37, 4,177.20 and 936.08

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Solution

The fourth proportional to 2,785.37, 4,177.20 and 936.08 is: 1,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.37 : 4,177.20 = 936.08 : x
  2. Step 2: Convert to fraction form
    2,785.37/4,177.20 = 936.08/x
  3. Step 3: Cross multiply
    2,785.37x = 4,177.20 × 936.08
  4. Step 4: Simplify right side
    2,785.37x = 3,910,172.49
  5. Step 5: Solve for x
    x = 3,910,172.49/2,785.37
  6. Step 6: Final answer
    x = 1,403.83

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