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Finding the Fourth Proportional to 2,473.11, 3,711.11 and 914.20

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Solution

The fourth proportional to 2,473.11, 3,711.11 and 914.20 is: 1,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.11 : 3,711.11 = 914.20 : x
  2. Step 2: Convert to fraction form
    2,473.11/3,711.11 = 914.20/x
  3. Step 3: Cross multiply
    2,473.11x = 3,711.11 × 914.20
  4. Step 4: Simplify right side
    2,473.11x = 3,392,696.76
  5. Step 5: Solve for x
    x = 3,392,696.76/2,473.11
  6. Step 6: Final answer
    x = 1,371.83

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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.