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Finding the Fourth Proportional to 1,969.31, 2,718.11 and 1,223.83

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Solution

The fourth proportional to 1,969.31, 2,718.11 and 1,223.83 is: 1,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.31 : 2,718.11 = 1,223.83 : x
  2. Step 2: Convert to fraction form
    1,969.31/2,718.11 = 1,223.83/x
  3. Step 3: Cross multiply
    1,969.31x = 2,718.11 × 1,223.83
  4. Step 4: Simplify right side
    1,969.31x = 3,326,504.56
  5. Step 5: Solve for x
    x = 3,326,504.56/1,969.31
  6. Step 6: Final answer
    x = 1,689.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.