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Finding the Fourth Proportional to 2,843.74, 4,259.94 and 2,259.73

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Solution

The fourth proportional to 2,843.74, 4,259.94 and 2,259.73 is: 3,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.74 : 4,259.94 = 2,259.73 : x
  2. Step 2: Convert to fraction form
    2,843.74/4,259.94 = 2,259.73/x
  3. Step 3: Cross multiply
    2,843.74x = 4,259.94 × 2,259.73
  4. Step 4: Simplify right side
    2,843.74x = 9,626,314.22
  5. Step 5: Solve for x
    x = 9,626,314.22/2,843.74
  6. Step 6: Final answer
    x = 3,385.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.