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Finding the Fourth Proportional to 3,414.36, 4,711.77 and 1,922.28

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Solution

The fourth proportional to 3,414.36, 4,711.77 and 1,922.28 is: 2,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.36 : 4,711.77 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    3,414.36/4,711.77 = 1,922.28/x
  3. Step 3: Cross multiply
    3,414.36x = 4,711.77 × 1,922.28
  4. Step 4: Simplify right side
    3,414.36x = 9,057,341.24
  5. Step 5: Solve for x
    x = 9,057,341.24/3,414.36
  6. Step 6: Final answer
    x = 2,652.72

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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.