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Finding the Fourth Proportional to 2,584,593.80, 3,873,396.96 and 1,866,164.30

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Solution

The fourth proportional to 2,584,593.80, 3,873,396.96 and 1,866,164.30 is: 2,796,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,593.80 : 3,873,396.96 = 1,866,164.30 : x
  2. Step 2: Convert to fraction form
    2,584,593.80/3,873,396.96 = 1,866,164.30/x
  3. Step 3: Cross multiply
    2,584,593.80x = 3,873,396.96 × 1,866,164.30
  4. Step 4: Simplify right side
    2,584,593.80x = 7,228,395,107,113.54
  5. Step 5: Solve for x
    x = 7,228,395,107,113.54/2,584,593.80
  6. Step 6: Final answer
    x = 2,796,723.85

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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.