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Finding the Fourth Proportional to 2,001.70, 3,005.79 and 1,272.70

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Solution

The fourth proportional to 2,001.70, 3,005.79 and 1,272.70 is: 1,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.70 : 3,005.79 = 1,272.70 : x
  2. Step 2: Convert to fraction form
    2,001.70/3,005.79 = 1,272.70/x
  3. Step 3: Cross multiply
    2,001.70x = 3,005.79 × 1,272.70
  4. Step 4: Simplify right side
    2,001.70x = 3,825,468.93
  5. Step 5: Solve for x
    x = 3,825,468.93/2,001.70
  6. Step 6: Final answer
    x = 1,911.11

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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.