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Finding the Fourth Proportional to 2,296.83, 3,170.84 and 1,843.77

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Solution

The fourth proportional to 2,296.83, 3,170.84 and 1,843.77 is: 2,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.83 : 3,170.84 = 1,843.77 : x
  2. Step 2: Convert to fraction form
    2,296.83/3,170.84 = 1,843.77/x
  3. Step 3: Cross multiply
    2,296.83x = 3,170.84 × 1,843.77
  4. Step 4: Simplify right side
    2,296.83x = 5,846,290.45
  5. Step 5: Solve for x
    x = 5,846,290.45/2,296.83
  6. Step 6: Final answer
    x = 2,545.37

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1.5x scale

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.