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Finding the Fourth Proportional to 1,789.74, 2,469.70 and 1,081.44

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Solution

The fourth proportional to 1,789.74, 2,469.70 and 1,081.44 is: 1,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.74 : 2,469.70 = 1,081.44 : x
  2. Step 2: Convert to fraction form
    1,789.74/2,469.70 = 1,081.44/x
  3. Step 3: Cross multiply
    1,789.74x = 2,469.70 × 1,081.44
  4. Step 4: Simplify right side
    1,789.74x = 2,670,832.37
  5. Step 5: Solve for x
    x = 2,670,832.37/1,789.74
  6. Step 6: Final answer
    x = 1,492.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.