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Finding the Fourth Proportional to 2,012.29, 2,776.25 and 1,266.30

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Solution

The fourth proportional to 2,012.29, 2,776.25 and 1,266.30 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.29 : 2,776.25 = 1,266.30 : x
  2. Step 2: Convert to fraction form
    2,012.29/2,776.25 = 1,266.30/x
  3. Step 3: Cross multiply
    2,012.29x = 2,776.25 × 1,266.30
  4. Step 4: Simplify right side
    2,012.29x = 3,515,568.54
  5. Step 5: Solve for x
    x = 3,515,568.54/2,012.29
  6. Step 6: Final answer
    x = 1,747.05

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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.