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Finding the Fourth Proportional to 2,983.74, 4,118.31 and 1,922.22

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Solution

The fourth proportional to 2,983.74, 4,118.31 and 1,922.22 is: 2,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.74 : 4,118.31 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    2,983.74/4,118.31 = 1,922.22/x
  3. Step 3: Cross multiply
    2,983.74x = 4,118.31 × 1,922.22
  4. Step 4: Simplify right side
    2,983.74x = 7,916,297.85
  5. Step 5: Solve for x
    x = 7,916,297.85/2,983.74
  6. Step 6: Final answer
    x = 2,653.15

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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.