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Finding the Fourth Proportional to 1,622.13, 2,434.25 and 892.22

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Solution

The fourth proportional to 1,622.13, 2,434.25 and 892.22 is: 1,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622.13 : 2,434.25 = 892.22 : x
  2. Step 2: Convert to fraction form
    1,622.13/2,434.25 = 892.22/x
  3. Step 3: Cross multiply
    1,622.13x = 2,434.25 × 892.22
  4. Step 4: Simplify right side
    1,622.13x = 2,171,876.59
  5. Step 5: Solve for x
    x = 2,171,876.59/1,622.13
  6. Step 6: Final answer
    x = 1,338.91

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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.