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Finding the Fourth Proportional to 1,708.75, 2,561.41 and 667.31

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Solution

The fourth proportional to 1,708.75, 2,561.41 and 667.31 is: 1,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.75 : 2,561.41 = 667.31 : x
  2. Step 2: Convert to fraction form
    1,708.75/2,561.41 = 667.31/x
  3. Step 3: Cross multiply
    1,708.75x = 2,561.41 × 667.31
  4. Step 4: Simplify right side
    1,708.75x = 1,709,251.17
  5. Step 5: Solve for x
    x = 1,709,251.17/1,708.75
  6. Step 6: Final answer
    x = 1,000.30

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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.