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Finding the Fourth Proportional to 2,266.57, 3,142.36 and 2,186.38

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Solution

The fourth proportional to 2,266.57, 3,142.36 and 2,186.38 is: 3,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.57 : 3,142.36 = 2,186.38 : x
  2. Step 2: Convert to fraction form
    2,266.57/3,142.36 = 2,186.38/x
  3. Step 3: Cross multiply
    2,266.57x = 3,142.36 × 2,186.38
  4. Step 4: Simplify right side
    2,266.57x = 6,870,393.06
  5. Step 5: Solve for x
    x = 6,870,393.06/2,266.57
  6. Step 6: Final answer
    x = 3,031.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.