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Finding the Fourth Proportional to 2,063, 2,847.09 and 1,178.78

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Solution

The fourth proportional to 2,063, 2,847.09 and 1,178.78 is: 1,626.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063 : 2,847.09 = 1,178.78 : x
  2. Step 2: Convert to fraction form
    2,063/2,847.09 = 1,178.78/x
  3. Step 3: Cross multiply
    2,063x = 2,847.09 × 1,178.78
  4. Step 4: Simplify right side
    2,063x = 3,356,099.87
  5. Step 5: Solve for x
    x = 3,356,099.87/2,063
  6. Step 6: Final answer
    x = 1,626.81

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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.