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Finding the Fourth Proportional to 2,199.44, 3,296 and 1,322.30

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Solution

The fourth proportional to 2,199.44, 3,296 and 1,322.30 is: 1,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.44 : 3,296 = 1,322.30 : x
  2. Step 2: Convert to fraction form
    2,199.44/3,296 = 1,322.30/x
  3. Step 3: Cross multiply
    2,199.44x = 3,296 × 1,322.30
  4. Step 4: Simplify right side
    2,199.44x = 4,358,300.80
  5. Step 5: Solve for x
    x = 4,358,300.80/2,199.44
  6. Step 6: Final answer
    x = 1,981.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.