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Finding the Fourth Proportional to 1,611.84, 2,223.84 and 1,022.16

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Solution

The fourth proportional to 1,611.84, 2,223.84 and 1,022.16 is: 1,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.84 : 2,223.84 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    1,611.84/2,223.84 = 1,022.16/x
  3. Step 3: Cross multiply
    1,611.84x = 2,223.84 × 1,022.16
  4. Step 4: Simplify right side
    1,611.84x = 2,273,120.29
  5. Step 5: Solve for x
    x = 2,273,120.29/1,611.84
  6. Step 6: Final answer
    x = 1,410.26

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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.