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Finding the Fourth Proportional to 2,062.26, 2,844.26 and 1,813.05

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Solution

The fourth proportional to 2,062.26, 2,844.26 and 1,813.05 is: 2,500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.26 : 2,844.26 = 1,813.05 : x
  2. Step 2: Convert to fraction form
    2,062.26/2,844.26 = 1,813.05/x
  3. Step 3: Cross multiply
    2,062.26x = 2,844.26 × 1,813.05
  4. Step 4: Simplify right side
    2,062.26x = 5,156,785.59
  5. Step 5: Solve for x
    x = 5,156,785.59/2,062.26
  6. Step 6: Final answer
    x = 2,500.55

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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.