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Finding the Fourth Proportional to 1,266.91, 1,891.19 and 1,094.68

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Solution

The fourth proportional to 1,266.91, 1,891.19 and 1,094.68 is: 1,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.91 : 1,891.19 = 1,094.68 : x
  2. Step 2: Convert to fraction form
    1,266.91/1,891.19 = 1,094.68/x
  3. Step 3: Cross multiply
    1,266.91x = 1,891.19 × 1,094.68
  4. Step 4: Simplify right side
    1,266.91x = 2,070,247.87
  5. Step 5: Solve for x
    x = 2,070,247.87/1,266.91
  6. Step 6: Final answer
    x = 1,634.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.