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Finding the Fourth Proportional to 2,610.26, 3,914.56 and 854.86

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Solution

The fourth proportional to 2,610.26, 3,914.56 and 854.86 is: 1,282.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.26 : 3,914.56 = 854.86 : x
  2. Step 2: Convert to fraction form
    2,610.26/3,914.56 = 854.86/x
  3. Step 3: Cross multiply
    2,610.26x = 3,914.56 × 854.86
  4. Step 4: Simplify right side
    2,610.26x = 3,346,400.76
  5. Step 5: Solve for x
    x = 3,346,400.76/2,610.26
  6. Step 6: Final answer
    x = 1,282.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.