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Finding the Fourth Proportional to 3,099.73, 4,645.38 and 1,711

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Solution

The fourth proportional to 3,099.73, 4,645.38 and 1,711 is: 2,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.73 : 4,645.38 = 1,711 : x
  2. Step 2: Convert to fraction form
    3,099.73/4,645.38 = 1,711/x
  3. Step 3: Cross multiply
    3,099.73x = 4,645.38 × 1,711
  4. Step 4: Simplify right side
    3,099.73x = 7,948,245.18
  5. Step 5: Solve for x
    x = 7,948,245.18/3,099.73
  6. Step 6: Final answer
    x = 2,564.17

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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.