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Finding the Fourth Proportional to 2,696.23, 3,711.44 and 2,324.44

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Solution

The fourth proportional to 2,696.23, 3,711.44 and 2,324.44 is: 3,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.23 : 3,711.44 = 2,324.44 : x
  2. Step 2: Convert to fraction form
    2,696.23/3,711.44 = 2,324.44/x
  3. Step 3: Cross multiply
    2,696.23x = 3,711.44 × 2,324.44
  4. Step 4: Simplify right side
    2,696.23x = 8,626,989.41
  5. Step 5: Solve for x
    x = 8,626,989.41/2,696.23
  6. Step 6: Final answer
    x = 3,199.65

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1.5x scale

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.