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Finding the Fourth Proportional to 2,217.36, 3,059.22 and 1,659.84

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Solution

The fourth proportional to 2,217.36, 3,059.22 and 1,659.84 is: 2,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.36 : 3,059.22 = 1,659.84 : x
  2. Step 2: Convert to fraction form
    2,217.36/3,059.22 = 1,659.84/x
  3. Step 3: Cross multiply
    2,217.36x = 3,059.22 × 1,659.84
  4. Step 4: Simplify right side
    2,217.36x = 5,077,815.72
  5. Step 5: Solve for x
    x = 5,077,815.72/2,217.36
  6. Step 6: Final answer
    x = 2,290.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.