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Finding the Fourth Proportional to 1,192.92, 1,641.40 and 1,164.12

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Solution

The fourth proportional to 1,192.92, 1,641.40 and 1,164.12 is: 1,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.92 : 1,641.40 = 1,164.12 : x
  2. Step 2: Convert to fraction form
    1,192.92/1,641.40 = 1,164.12/x
  3. Step 3: Cross multiply
    1,192.92x = 1,641.40 × 1,164.12
  4. Step 4: Simplify right side
    1,192.92x = 1,910,786.57
  5. Step 5: Solve for x
    x = 1,910,786.57/1,192.92
  6. Step 6: Final answer
    x = 1,601.77

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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.