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Finding the Fourth Proportional to 1,436.09, 1,981.74 and 806.61

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Solution

The fourth proportional to 1,436.09, 1,981.74 and 806.61 is: 1,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.09 : 1,981.74 = 806.61 : x
  2. Step 2: Convert to fraction form
    1,436.09/1,981.74 = 806.61/x
  3. Step 3: Cross multiply
    1,436.09x = 1,981.74 × 806.61
  4. Step 4: Simplify right side
    1,436.09x = 1,598,491.30
  5. Step 5: Solve for x
    x = 1,598,491.30/1,436.09
  6. Step 6: Final answer
    x = 1,113.09

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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.