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Finding the Fourth Proportional to 2,232.71, 3,348.09 and 983.27

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Solution

The fourth proportional to 2,232.71, 3,348.09 and 983.27 is: 1,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.71 : 3,348.09 = 983.27 : x
  2. Step 2: Convert to fraction form
    2,232.71/3,348.09 = 983.27/x
  3. Step 3: Cross multiply
    2,232.71x = 3,348.09 × 983.27
  4. Step 4: Simplify right side
    2,232.71x = 3,292,076.45
  5. Step 5: Solve for x
    x = 3,292,076.45/2,232.71
  6. Step 6: Final answer
    x = 1,474.48

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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.