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Finding the Fourth Proportional to 1,906.25, 2,860.80 and 811.37

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Solution

The fourth proportional to 1,906.25, 2,860.80 and 811.37 is: 1,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.25 : 2,860.80 = 811.37 : x
  2. Step 2: Convert to fraction form
    1,906.25/2,860.80 = 811.37/x
  3. Step 3: Cross multiply
    1,906.25x = 2,860.80 × 811.37
  4. Step 4: Simplify right side
    1,906.25x = 2,321,152.99
  5. Step 5: Solve for x
    x = 2,321,152.99/1,906.25
  6. Step 6: Final answer
    x = 1,217.66

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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.