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Finding the Fourth Proportional to 2,238.89, 3,355.61 and 1,005.98

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Solution

The fourth proportional to 2,238.89, 3,355.61 and 1,005.98 is: 1,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.89 : 3,355.61 = 1,005.98 : x
  2. Step 2: Convert to fraction form
    2,238.89/3,355.61 = 1,005.98/x
  3. Step 3: Cross multiply
    2,238.89x = 3,355.61 × 1,005.98
  4. Step 4: Simplify right side
    2,238.89x = 3,375,654.74
  5. Step 5: Solve for x
    x = 3,375,654.74/2,238.89
  6. Step 6: Final answer
    x = 1,507.74

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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.