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Finding the Fourth Proportional to 2,199.12, 3,296.66 and 812.13

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Solution

The fourth proportional to 2,199.12, 3,296.66 and 812.13 is: 1,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.12 : 3,296.66 = 812.13 : x
  2. Step 2: Convert to fraction form
    2,199.12/3,296.66 = 812.13/x
  3. Step 3: Cross multiply
    2,199.12x = 3,296.66 × 812.13
  4. Step 4: Simplify right side
    2,199.12x = 2,677,312.43
  5. Step 5: Solve for x
    x = 2,677,312.43/2,199.12
  6. Step 6: Final answer
    x = 1,217.45

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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.