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Finding the Fourth Proportional to 2,605.82, 3,906 and 961.34

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Solution

The fourth proportional to 2,605.82, 3,906 and 961.34 is: 1,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.82 : 3,906 = 961.34 : x
  2. Step 2: Convert to fraction form
    2,605.82/3,906 = 961.34/x
  3. Step 3: Cross multiply
    2,605.82x = 3,906 × 961.34
  4. Step 4: Simplify right side
    2,605.82x = 3,754,994.04
  5. Step 5: Solve for x
    x = 3,754,994.04/2,605.82
  6. Step 6: Final answer
    x = 1,441.00

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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.