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Finding the Fourth Proportional to 3,400, 4,691.59 and 1,983.99

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Solution

The fourth proportional to 3,400, 4,691.59 and 1,983.99 is: 2,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 4,691.59 = 1,983.99 : x
  2. Step 2: Convert to fraction form
    3,400/4,691.59 = 1,983.99/x
  3. Step 3: Cross multiply
    3,400x = 4,691.59 × 1,983.99
  4. Step 4: Simplify right side
    3,400x = 9,308,067.64
  5. Step 5: Solve for x
    x = 9,308,067.64/3,400
  6. Step 6: Final answer
    x = 2,737.67

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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.