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Finding the Fourth Proportional to 2,785.50, 4,178.70 and 936.81

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Solution

The fourth proportional to 2,785.50, 4,178.70 and 936.81 is: 1,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.50 : 4,178.70 = 936.81 : x
  2. Step 2: Convert to fraction form
    2,785.50/4,178.70 = 936.81/x
  3. Step 3: Cross multiply
    2,785.50x = 4,178.70 × 936.81
  4. Step 4: Simplify right side
    2,785.50x = 3,914,647.95
  5. Step 5: Solve for x
    x = 3,914,647.95/2,785.50
  6. Step 6: Final answer
    x = 1,405.37

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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.