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Finding the Fourth Proportional to 2,410.97, 3,327.75 and 1,363.64

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Solution

The fourth proportional to 2,410.97, 3,327.75 and 1,363.64 is: 1,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.97 : 3,327.75 = 1,363.64 : x
  2. Step 2: Convert to fraction form
    2,410.97/3,327.75 = 1,363.64/x
  3. Step 3: Cross multiply
    2,410.97x = 3,327.75 × 1,363.64
  4. Step 4: Simplify right side
    2,410.97x = 4,537,861.33
  5. Step 5: Solve for x
    x = 4,537,861.33/2,410.97
  6. Step 6: Final answer
    x = 1,882.17

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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.