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Finding the Fourth Proportional to 1,436.14, 1,981.92 and 911.62

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Solution

The fourth proportional to 1,436.14, 1,981.92 and 911.62 is: 1,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.14 : 1,981.92 = 911.62 : x
  2. Step 2: Convert to fraction form
    1,436.14/1,981.92 = 911.62/x
  3. Step 3: Cross multiply
    1,436.14x = 1,981.92 × 911.62
  4. Step 4: Simplify right side
    1,436.14x = 1,806,757.91
  5. Step 5: Solve for x
    x = 1,806,757.91/1,436.14
  6. Step 6: Final answer
    x = 1,258.07

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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.