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Finding the Fourth Proportional to 2,252.68, 3,383.89 and 1,906.70

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Solution

The fourth proportional to 2,252.68, 3,383.89 and 1,906.70 is: 2,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.68 : 3,383.89 = 1,906.70 : x
  2. Step 2: Convert to fraction form
    2,252.68/3,383.89 = 1,906.70/x
  3. Step 3: Cross multiply
    2,252.68x = 3,383.89 × 1,906.70
  4. Step 4: Simplify right side
    2,252.68x = 6,452,041.38
  5. Step 5: Solve for x
    x = 6,452,041.38/2,252.68
  6. Step 6: Final answer
    x = 2,864.17

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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.