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Finding the Fourth Proportional to 2,199.66, 3,316.13 and 2,080.59

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Solution

The fourth proportional to 2,199.66, 3,316.13 and 2,080.59 is: 3,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.66 : 3,316.13 = 2,080.59 : x
  2. Step 2: Convert to fraction form
    2,199.66/3,316.13 = 2,080.59/x
  3. Step 3: Cross multiply
    2,199.66x = 3,316.13 × 2,080.59
  4. Step 4: Simplify right side
    2,199.66x = 6,899,512.12
  5. Step 5: Solve for x
    x = 6,899,512.12/2,199.66
  6. Step 6: Final answer
    x = 3,136.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.