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Finding the Fourth Proportional to 1,687.21, 2,328.23 and 979.08

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Solution

The fourth proportional to 1,687.21, 2,328.23 and 979.08 is: 1,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.21 : 2,328.23 = 979.08 : x
  2. Step 2: Convert to fraction form
    1,687.21/2,328.23 = 979.08/x
  3. Step 3: Cross multiply
    1,687.21x = 2,328.23 × 979.08
  4. Step 4: Simplify right side
    1,687.21x = 2,279,523.43
  5. Step 5: Solve for x
    x = 2,279,523.43/1,687.21
  6. Step 6: Final answer
    x = 1,351.06

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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.