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Finding the Fourth Proportional to 3,296.14, 4,942.41 and 1,346.74

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Solution

The fourth proportional to 3,296.14, 4,942.41 and 1,346.74 is: 2,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.14 : 4,942.41 = 1,346.74 : x
  2. Step 2: Convert to fraction form
    3,296.14/4,942.41 = 1,346.74/x
  3. Step 3: Cross multiply
    3,296.14x = 4,942.41 × 1,346.74
  4. Step 4: Simplify right side
    3,296.14x = 6,656,141.24
  5. Step 5: Solve for x
    x = 6,656,141.24/3,296.14
  6. Step 6: Final answer
    x = 2,019.37

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1.5x scale

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.