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Finding the Fourth Proportional to 2,290.82, 3,433.93 and 905.14

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Solution

The fourth proportional to 2,290.82, 3,433.93 and 905.14 is: 1,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.82 : 3,433.93 = 905.14 : x
  2. Step 2: Convert to fraction form
    2,290.82/3,433.93 = 905.14/x
  3. Step 3: Cross multiply
    2,290.82x = 3,433.93 × 905.14
  4. Step 4: Simplify right side
    2,290.82x = 3,108,192.82
  5. Step 5: Solve for x
    x = 3,108,192.82/2,290.82
  6. Step 6: Final answer
    x = 1,356.80

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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.