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Finding the Fourth Proportional to 2,843.57, 3,924.03 and 1,584.63

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Solution

The fourth proportional to 2,843.57, 3,924.03 and 1,584.63 is: 2,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.57 : 3,924.03 = 1,584.63 : x
  2. Step 2: Convert to fraction form
    2,843.57/3,924.03 = 1,584.63/x
  3. Step 3: Cross multiply
    2,843.57x = 3,924.03 × 1,584.63
  4. Step 4: Simplify right side
    2,843.57x = 6,218,135.66
  5. Step 5: Solve for x
    x = 6,218,135.66/2,843.57
  6. Step 6: Final answer
    x = 2,186.74

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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.