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Finding the Fourth Proportional to 2,016.59, 3,024.27 and 717.75

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Solution

The fourth proportional to 2,016.59, 3,024.27 and 717.75 is: 1,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.59 : 3,024.27 = 717.75 : x
  2. Step 2: Convert to fraction form
    2,016.59/3,024.27 = 717.75/x
  3. Step 3: Cross multiply
    2,016.59x = 3,024.27 × 717.75
  4. Step 4: Simplify right side
    2,016.59x = 2,170,669.79
  5. Step 5: Solve for x
    x = 2,170,669.79/2,016.59
  6. Step 6: Final answer
    x = 1,076.41

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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.