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Finding the Fourth Proportional to 1,517.67, 2,276.40 and 593.06

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Solution

The fourth proportional to 1,517.67, 2,276.40 and 593.06 is: 889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.67 : 2,276.40 = 593.06 : x
  2. Step 2: Convert to fraction form
    1,517.67/2,276.40 = 593.06/x
  3. Step 3: Cross multiply
    1,517.67x = 2,276.40 × 593.06
  4. Step 4: Simplify right side
    1,517.67x = 1,350,027.44
  5. Step 5: Solve for x
    x = 1,350,027.44/1,517.67
  6. Step 6: Final answer
    x = 889.54

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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.