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Finding the Fourth Proportional to 1,616.81, 2,414.25 and 1,284.01

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Solution

The fourth proportional to 1,616.81, 2,414.25 and 1,284.01 is: 1,917.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.81 : 2,414.25 = 1,284.01 : x
  2. Step 2: Convert to fraction form
    1,616.81/2,414.25 = 1,284.01/x
  3. Step 3: Cross multiply
    1,616.81x = 2,414.25 × 1,284.01
  4. Step 4: Simplify right side
    1,616.81x = 3,099,922.75
  5. Step 5: Solve for x
    x = 3,099,922.75/1,616.81
  6. Step 6: Final answer
    x = 1,917.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.