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Finding the Fourth Proportional to 3,427.71, 5,141.52 and 830.67

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Solution

The fourth proportional to 3,427.71, 5,141.52 and 830.67 is: 1,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.71 : 5,141.52 = 830.67 : x
  2. Step 2: Convert to fraction form
    3,427.71/5,141.52 = 830.67/x
  3. Step 3: Cross multiply
    3,427.71x = 5,141.52 × 830.67
  4. Step 4: Simplify right side
    3,427.71x = 4,270,906.42
  5. Step 5: Solve for x
    x = 4,270,906.42/3,427.71
  6. Step 6: Final answer
    x = 1,245.99

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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.