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Finding the Fourth Proportional to 2,054.31, 3,081.47 and 667.65

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Solution

The fourth proportional to 2,054.31, 3,081.47 and 667.65 is: 1,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.31 : 3,081.47 = 667.65 : x
  2. Step 2: Convert to fraction form
    2,054.31/3,081.47 = 667.65/x
  3. Step 3: Cross multiply
    2,054.31x = 3,081.47 × 667.65
  4. Step 4: Simplify right side
    2,054.31x = 2,057,340.11
  5. Step 5: Solve for x
    x = 2,057,340.11/2,054.31
  6. Step 6: Final answer
    x = 1,001.48

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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.