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Finding the Fourth Proportional to 1,616.91, 2,230.79 and 1,322.07

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Solution

The fourth proportional to 1,616.91, 2,230.79 and 1,322.07 is: 1,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.91 : 2,230.79 = 1,322.07 : x
  2. Step 2: Convert to fraction form
    1,616.91/2,230.79 = 1,322.07/x
  3. Step 3: Cross multiply
    1,616.91x = 2,230.79 × 1,322.07
  4. Step 4: Simplify right side
    1,616.91x = 2,949,253.92
  5. Step 5: Solve for x
    x = 2,949,253.92/1,616.91
  6. Step 6: Final answer
    x = 1,824.01

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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.