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Finding the Fourth Proportional to 1,743.08, 2,611.92 and 1,013

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Solution

The fourth proportional to 1,743.08, 2,611.92 and 1,013 is: 1,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.08 : 2,611.92 = 1,013 : x
  2. Step 2: Convert to fraction form
    1,743.08/2,611.92 = 1,013/x
  3. Step 3: Cross multiply
    1,743.08x = 2,611.92 × 1,013
  4. Step 4: Simplify right side
    1,743.08x = 2,645,874.96
  5. Step 5: Solve for x
    x = 2,645,874.96/1,743.08
  6. Step 6: Final answer
    x = 1,517.93

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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.