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Finding the Fourth Proportional to 2,196.99, 3,294.36 and 1,375.92

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Solution

The fourth proportional to 2,196.99, 3,294.36 and 1,375.92 is: 2,063.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196.99 : 3,294.36 = 1,375.92 : x
  2. Step 2: Convert to fraction form
    2,196.99/3,294.36 = 1,375.92/x
  3. Step 3: Cross multiply
    2,196.99x = 3,294.36 × 1,375.92
  4. Step 4: Simplify right side
    2,196.99x = 4,532,775.81
  5. Step 5: Solve for x
    x = 4,532,775.81/2,196.99
  6. Step 6: Final answer
    x = 2,063.18

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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.