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Finding the Fourth Proportional to 1,844.07, 2,766.77 and 857.36

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Solution

The fourth proportional to 1,844.07, 2,766.77 and 857.36 is: 1,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.07 : 2,766.77 = 857.36 : x
  2. Step 2: Convert to fraction form
    1,844.07/2,766.77 = 857.36/x
  3. Step 3: Cross multiply
    1,844.07x = 2,766.77 × 857.36
  4. Step 4: Simplify right side
    1,844.07x = 2,372,099.81
  5. Step 5: Solve for x
    x = 2,372,099.81/1,844.07
  6. Step 6: Final answer
    x = 1,286.34

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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.