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Finding the Fourth Proportional to 2,243.69, 3,364.22 and 857.13

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Solution

The fourth proportional to 2,243.69, 3,364.22 and 857.13 is: 1,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243.69 : 3,364.22 = 857.13 : x
  2. Step 2: Convert to fraction form
    2,243.69/3,364.22 = 857.13/x
  3. Step 3: Cross multiply
    2,243.69x = 3,364.22 × 857.13
  4. Step 4: Simplify right side
    2,243.69x = 2,883,569.60
  5. Step 5: Solve for x
    x = 2,883,569.60/2,243.69
  6. Step 6: Final answer
    x = 1,285.19

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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.