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Finding the Fourth Proportional to 1,659.77, 2,486.86 and 1,170.44

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Solution

The fourth proportional to 1,659.77, 2,486.86 and 1,170.44 is: 1,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.77 : 2,486.86 = 1,170.44 : x
  2. Step 2: Convert to fraction form
    1,659.77/2,486.86 = 1,170.44/x
  3. Step 3: Cross multiply
    1,659.77x = 2,486.86 × 1,170.44
  4. Step 4: Simplify right side
    1,659.77x = 2,910,720.42
  5. Step 5: Solve for x
    x = 2,910,720.42/1,659.77
  6. Step 6: Final answer
    x = 1,753.69

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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.