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Finding the Fourth Proportional to 1,321.09, 1,821.42 and 1,084.18

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Solution

The fourth proportional to 1,321.09, 1,821.42 and 1,084.18 is: 1,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.09 : 1,821.42 = 1,084.18 : x
  2. Step 2: Convert to fraction form
    1,321.09/1,821.42 = 1,084.18/x
  3. Step 3: Cross multiply
    1,321.09x = 1,821.42 × 1,084.18
  4. Step 4: Simplify right side
    1,321.09x = 1,974,747.14
  5. Step 5: Solve for x
    x = 1,974,747.14/1,321.09
  6. Step 6: Final answer
    x = 1,494.79

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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.