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Finding the Fourth Proportional to 2,080.57, 2,871.10 and 1,136.34

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Solution

The fourth proportional to 2,080.57, 2,871.10 and 1,136.34 is: 1,568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.57 : 2,871.10 = 1,136.34 : x
  2. Step 2: Convert to fraction form
    2,080.57/2,871.10 = 1,136.34/x
  3. Step 3: Cross multiply
    2,080.57x = 2,871.10 × 1,136.34
  4. Step 4: Simplify right side
    2,080.57x = 3,262,545.77
  5. Step 5: Solve for x
    x = 3,262,545.77/2,080.57
  6. Step 6: Final answer
    x = 1,568.10

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Why These Related Problems?

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