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Finding the Fourth Proportional to 1,231.22, 1,855.12 and 1,098.58

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Solution

The fourth proportional to 1,231.22, 1,855.12 and 1,098.58 is: 1,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.22 : 1,855.12 = 1,098.58 : x
  2. Step 2: Convert to fraction form
    1,231.22/1,855.12 = 1,098.58/x
  3. Step 3: Cross multiply
    1,231.22x = 1,855.12 × 1,098.58
  4. Step 4: Simplify right side
    1,231.22x = 2,037,997.73
  5. Step 5: Solve for x
    x = 2,037,997.73/1,231.22
  6. Step 6: Final answer
    x = 1,655.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.