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Finding the Fourth Proportional to 2,026.06, 2,795.91 and 1,141.84

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Solution

The fourth proportional to 2,026.06, 2,795.91 and 1,141.84 is: 1,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.06 : 2,795.91 = 1,141.84 : x
  2. Step 2: Convert to fraction form
    2,026.06/2,795.91 = 1,141.84/x
  3. Step 3: Cross multiply
    2,026.06x = 2,795.91 × 1,141.84
  4. Step 4: Simplify right side
    2,026.06x = 3,192,481.09
  5. Step 5: Solve for x
    x = 3,192,481.09/2,026.06
  6. Step 6: Final answer
    x = 1,575.71

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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.