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Finding the Fourth Proportional to 2,101.73, 3,147.81 and 1,006.88

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Solution

The fourth proportional to 2,101.73, 3,147.81 and 1,006.88 is: 1,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.73 : 3,147.81 = 1,006.88 : x
  2. Step 2: Convert to fraction form
    2,101.73/3,147.81 = 1,006.88/x
  3. Step 3: Cross multiply
    2,101.73x = 3,147.81 × 1,006.88
  4. Step 4: Simplify right side
    2,101.73x = 3,169,451.19
  5. Step 5: Solve for x
    x = 3,169,451.19/2,101.73
  6. Step 6: Final answer
    x = 1,508.02

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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.