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Finding the Fourth Proportional to 2,823.86, 4,230.23 and 1,847.00

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Solution

The fourth proportional to 2,823.86, 4,230.23 and 1,847.00 is: 2,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.86 : 4,230.23 = 1,847.00 : x
  2. Step 2: Convert to fraction form
    2,823.86/4,230.23 = 1,847.00/x
  3. Step 3: Cross multiply
    2,823.86x = 4,230.23 × 1,847.00
  4. Step 4: Simplify right side
    2,823.86x = 7,813,236.15
  5. Step 5: Solve for x
    x = 7,813,236.15/2,823.86
  6. Step 6: Final answer
    x = 2,766.86

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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.