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Finding the Fourth Proportional to 1,321.34, 1,969.06 and 1,243.44

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Solution

The fourth proportional to 1,321.34, 1,969.06 and 1,243.44 is: 1,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.34 : 1,969.06 = 1,243.44 : x
  2. Step 2: Convert to fraction form
    1,321.34/1,969.06 = 1,243.44/x
  3. Step 3: Cross multiply
    1,321.34x = 1,969.06 × 1,243.44
  4. Step 4: Simplify right side
    1,321.34x = 2,448,407.97
  5. Step 5: Solve for x
    x = 2,448,407.97/1,321.34
  6. Step 6: Final answer
    x = 1,852.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.