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Finding the Fourth Proportional to 2,696.92, 4,035.64 and 2,230.36

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Solution

The fourth proportional to 2,696.92, 4,035.64 and 2,230.36 is: 3,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.92 : 4,035.64 = 2,230.36 : x
  2. Step 2: Convert to fraction form
    2,696.92/4,035.64 = 2,230.36/x
  3. Step 3: Cross multiply
    2,696.92x = 4,035.64 × 2,230.36
  4. Step 4: Simplify right side
    2,696.92x = 9,000,930.03
  5. Step 5: Solve for x
    x = 9,000,930.03/2,696.92
  6. Step 6: Final answer
    x = 3,337.48

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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.