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Finding the Fourth Proportional to 2,080.71, 2,871.23 and 1,136.43

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Solution

The fourth proportional to 2,080.71, 2,871.23 and 1,136.43 is: 1,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.71 : 2,871.23 = 1,136.43 : x
  2. Step 2: Convert to fraction form
    2,080.71/2,871.23 = 1,136.43/x
  3. Step 3: Cross multiply
    2,080.71x = 2,871.23 × 1,136.43
  4. Step 4: Simplify right side
    2,080.71x = 3,262,946.23
  5. Step 5: Solve for x
    x = 3,262,946.23/2,080.71
  6. Step 6: Final answer
    x = 1,568.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.