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Finding the Fourth Proportional to 2,243.27, 3,364.13 and 857.00

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Solution

The fourth proportional to 2,243.27, 3,364.13 and 857.00 is: 1,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.27 : 3,364.13 = 857.00 : x
  2. Step 2: Convert to fraction form
    2,243.27/3,364.13 = 857.00/x
  3. Step 3: Cross multiply
    2,243.27x = 3,364.13 × 857.00
  4. Step 4: Simplify right side
    2,243.27x = 2,883,069.96
  5. Step 5: Solve for x
    x = 2,883,069.96/2,243.27
  6. Step 6: Final answer
    x = 1,285.21

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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.