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Finding the Fourth Proportional to 1,084.05, 1,621.82 and 992.12

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Solution

The fourth proportional to 1,084.05, 1,621.82 and 992.12 is: 1,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.05 : 1,621.82 = 992.12 : x
  2. Step 2: Convert to fraction form
    1,084.05/1,621.82 = 992.12/x
  3. Step 3: Cross multiply
    1,084.05x = 1,621.82 × 992.12
  4. Step 4: Simplify right side
    1,084.05x = 1,609,034.43
  5. Step 5: Solve for x
    x = 1,609,034.43/1,084.05
  6. Step 6: Final answer
    x = 1,484.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.