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Finding the Fourth Proportional to 1,616.25, 2,224.95 and 1,450.40

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Solution

The fourth proportional to 1,616.25, 2,224.95 and 1,450.40 is: 1,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.25 : 2,224.95 = 1,450.40 : x
  2. Step 2: Convert to fraction form
    1,616.25/2,224.95 = 1,450.40/x
  3. Step 3: Cross multiply
    1,616.25x = 2,224.95 × 1,450.40
  4. Step 4: Simplify right side
    1,616.25x = 3,227,067.48
  5. Step 5: Solve for x
    x = 3,227,067.48/1,616.25
  6. Step 6: Final answer
    x = 1,996.64

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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.