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Finding the Fourth Proportional to 1,324.25, 1,827.61 and 992.11

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Solution

The fourth proportional to 1,324.25, 1,827.61 and 992.11 is: 1,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.25 : 1,827.61 = 992.11 : x
  2. Step 2: Convert to fraction form
    1,324.25/1,827.61 = 992.11/x
  3. Step 3: Cross multiply
    1,324.25x = 1,827.61 × 992.11
  4. Step 4: Simplify right side
    1,324.25x = 1,813,190.16
  5. Step 5: Solve for x
    x = 1,813,190.16/1,324.25
  6. Step 6: Final answer
    x = 1,369.22

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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.