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Finding the Fourth Proportional to 1,667.71, 2,496.31 and 1,144.65

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Solution

The fourth proportional to 1,667.71, 2,496.31 and 1,144.65 is: 1,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.71 : 2,496.31 = 1,144.65 : x
  2. Step 2: Convert to fraction form
    1,667.71/2,496.31 = 1,144.65/x
  3. Step 3: Cross multiply
    1,667.71x = 2,496.31 × 1,144.65
  4. Step 4: Simplify right side
    1,667.71x = 2,857,401.24
  5. Step 5: Solve for x
    x = 2,857,401.24/1,667.71
  6. Step 6: Final answer
    x = 1,713.37

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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.