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Finding the Fourth Proportional to 1,667.82, 2,502.09 and 694.65

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Solution

The fourth proportional to 1,667.82, 2,502.09 and 694.65 is: 1,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.82 : 2,502.09 = 694.65 : x
  2. Step 2: Convert to fraction form
    1,667.82/2,502.09 = 694.65/x
  3. Step 3: Cross multiply
    1,667.82x = 2,502.09 × 694.65
  4. Step 4: Simplify right side
    1,667.82x = 1,738,076.82
  5. Step 5: Solve for x
    x = 1,738,076.82/1,667.82
  6. Step 6: Final answer
    x = 1,042.12

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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.