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Finding the Fourth Proportional to 3,001.76, 4,143.05 and 2,006.27

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Solution

The fourth proportional to 3,001.76, 4,143.05 and 2,006.27 is: 2,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.76 : 4,143.05 = 2,006.27 : x
  2. Step 2: Convert to fraction form
    3,001.76/4,143.05 = 2,006.27/x
  3. Step 3: Cross multiply
    3,001.76x = 4,143.05 × 2,006.27
  4. Step 4: Simplify right side
    3,001.76x = 8,312,046.18
  5. Step 5: Solve for x
    x = 8,312,046.18/3,001.76
  6. Step 6: Final answer
    x = 2,769.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.