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Finding the Fourth Proportional to 1,891.08, 2,837.26 and 851.81

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Solution

The fourth proportional to 1,891.08, 2,837.26 and 851.81 is: 1,278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.08 : 2,837.26 = 851.81 : x
  2. Step 2: Convert to fraction form
    1,891.08/2,837.26 = 851.81/x
  3. Step 3: Cross multiply
    1,891.08x = 2,837.26 × 851.81
  4. Step 4: Simplify right side
    1,891.08x = 2,416,794.38
  5. Step 5: Solve for x
    x = 2,416,794.38/1,891.08
  6. Step 6: Final answer
    x = 1,278.00

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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.