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Finding the Fourth Proportional to 2,489.89, 3,733.58 and 1,103.66

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Solution

The fourth proportional to 2,489.89, 3,733.58 and 1,103.66 is: 1,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.89 : 3,733.58 = 1,103.66 : x
  2. Step 2: Convert to fraction form
    2,489.89/3,733.58 = 1,103.66/x
  3. Step 3: Cross multiply
    2,489.89x = 3,733.58 × 1,103.66
  4. Step 4: Simplify right side
    2,489.89x = 4,120,602.90
  5. Step 5: Solve for x
    x = 4,120,602.90/2,489.89
  6. Step 6: Final answer
    x = 1,654.93

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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.