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Finding the Fourth Proportional to 1,808.54, 2,711.73 and 884.78

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Solution

The fourth proportional to 1,808.54, 2,711.73 and 884.78 is: 1,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.54 : 2,711.73 = 884.78 : x
  2. Step 2: Convert to fraction form
    1,808.54/2,711.73 = 884.78/x
  3. Step 3: Cross multiply
    1,808.54x = 2,711.73 × 884.78
  4. Step 4: Simplify right side
    1,808.54x = 2,399,284.47
  5. Step 5: Solve for x
    x = 2,399,284.47/1,808.54
  6. Step 6: Final answer
    x = 1,326.64

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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.