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Finding the Fourth Proportional to 1,679.27, 2,317.34 and 933.25

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Solution

The fourth proportional to 1,679.27, 2,317.34 and 933.25 is: 1,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.27 : 2,317.34 = 933.25 : x
  2. Step 2: Convert to fraction form
    1,679.27/2,317.34 = 933.25/x
  3. Step 3: Cross multiply
    1,679.27x = 2,317.34 × 933.25
  4. Step 4: Simplify right side
    1,679.27x = 2,162,657.56
  5. Step 5: Solve for x
    x = 2,162,657.56/1,679.27
  6. Step 6: Final answer
    x = 1,287.86

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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.