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Finding the Fourth Proportional to 2,911.25, 4,366.82 and 719.97

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Solution

The fourth proportional to 2,911.25, 4,366.82 and 719.97 is: 1,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.25 : 4,366.82 = 719.97 : x
  2. Step 2: Convert to fraction form
    2,911.25/4,366.82 = 719.97/x
  3. Step 3: Cross multiply
    2,911.25x = 4,366.82 × 719.97
  4. Step 4: Simplify right side
    2,911.25x = 3,143,975.80
  5. Step 5: Solve for x
    x = 3,143,975.80/2,911.25
  6. Step 6: Final answer
    x = 1,079.94

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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.