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Finding the Fourth Proportional to 2,610.56, 3,914.85 and 855.14

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Solution

The fourth proportional to 2,610.56, 3,914.85 and 855.14 is: 1,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.56 : 3,914.85 = 855.14 : x
  2. Step 2: Convert to fraction form
    2,610.56/3,914.85 = 855.14/x
  3. Step 3: Cross multiply
    2,610.56x = 3,914.85 × 855.14
  4. Step 4: Simplify right side
    2,610.56x = 3,347,744.83
  5. Step 5: Solve for x
    x = 3,347,744.83/2,610.56
  6. Step 6: Final answer
    x = 1,282.39

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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.