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Finding the Fourth Proportional to 1,784.87, 2,677.31 and 809.82

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Solution

The fourth proportional to 1,784.87, 2,677.31 and 809.82 is: 1,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.87 : 2,677.31 = 809.82 : x
  2. Step 2: Convert to fraction form
    1,784.87/2,677.31 = 809.82/x
  3. Step 3: Cross multiply
    1,784.87x = 2,677.31 × 809.82
  4. Step 4: Simplify right side
    1,784.87x = 2,168,135.14
  5. Step 5: Solve for x
    x = 2,168,135.14/1,784.87
  6. Step 6: Final answer
    x = 1,214.73

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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.