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Finding the Fourth Proportional to 3,400.98, 5,099.56 and 1,178.78

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Solution

The fourth proportional to 3,400.98, 5,099.56 and 1,178.78 is: 1,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.98 : 5,099.56 = 1,178.78 : x
  2. Step 2: Convert to fraction form
    3,400.98/5,099.56 = 1,178.78/x
  3. Step 3: Cross multiply
    3,400.98x = 5,099.56 × 1,178.78
  4. Step 4: Simplify right side
    3,400.98x = 6,011,235.31
  5. Step 5: Solve for x
    x = 6,011,235.31/3,400.98
  6. Step 6: Final answer
    x = 1,767.50

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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.