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Finding the Fourth Proportional to 1,081.47, 1,611.92 and 1,019.96

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Solution

The fourth proportional to 1,081.47, 1,611.92 and 1,019.96 is: 1,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.47 : 1,611.92 = 1,019.96 : x
  2. Step 2: Convert to fraction form
    1,081.47/1,611.92 = 1,019.96/x
  3. Step 3: Cross multiply
    1,081.47x = 1,611.92 × 1,019.96
  4. Step 4: Simplify right side
    1,081.47x = 1,644,080.76
  5. Step 5: Solve for x
    x = 1,644,080.76/1,081.47
  6. Step 6: Final answer
    x = 1,520.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.