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Finding the Fourth Proportional to 2,810.91, 4,216.98 and 863.06

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Solution

The fourth proportional to 2,810.91, 4,216.98 and 863.06 is: 1,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.91 : 4,216.98 = 863.06 : x
  2. Step 2: Convert to fraction form
    2,810.91/4,216.98 = 863.06/x
  3. Step 3: Cross multiply
    2,810.91x = 4,216.98 × 863.06
  4. Step 4: Simplify right side
    2,810.91x = 3,639,520.54
  5. Step 5: Solve for x
    x = 3,639,520.54/2,810.91
  6. Step 6: Final answer
    x = 1,294.78

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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.