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Finding the Fourth Proportional to 2,704.22, 3,731.83 and 1,656.26

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Solution

The fourth proportional to 2,704.22, 3,731.83 and 1,656.26 is: 2,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.22 : 3,731.83 = 1,656.26 : x
  2. Step 2: Convert to fraction form
    2,704.22/3,731.83 = 1,656.26/x
  3. Step 3: Cross multiply
    2,704.22x = 3,731.83 × 1,656.26
  4. Step 4: Simplify right side
    2,704.22x = 6,180,857.96
  5. Step 5: Solve for x
    x = 6,180,857.96/2,704.22
  6. Step 6: Final answer
    x = 2,285.64

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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.