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Finding the Fourth Proportional to 2,002.12, 3,001.74 and 1,231

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Solution

The fourth proportional to 2,002.12, 3,001.74 and 1,231 is: 1,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.12 : 3,001.74 = 1,231 : x
  2. Step 2: Convert to fraction form
    2,002.12/3,001.74 = 1,231/x
  3. Step 3: Cross multiply
    2,002.12x = 3,001.74 × 1,231
  4. Step 4: Simplify right side
    2,002.12x = 3,695,141.94
  5. Step 5: Solve for x
    x = 3,695,141.94/2,002.12
  6. Step 6: Final answer
    x = 1,845.61

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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.