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Finding the Fourth Proportional to 1,743.84, 2,611.44 and 1,280.52

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Solution

The fourth proportional to 1,743.84, 2,611.44 and 1,280.52 is: 1,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.84 : 2,611.44 = 1,280.52 : x
  2. Step 2: Convert to fraction form
    1,743.84/2,611.44 = 1,280.52/x
  3. Step 3: Cross multiply
    1,743.84x = 2,611.44 × 1,280.52
  4. Step 4: Simplify right side
    1,743.84x = 3,344,001.15
  5. Step 5: Solve for x
    x = 3,344,001.15/1,743.84
  6. Step 6: Final answer
    x = 1,917.61

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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.