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Finding the Fourth Proportional to 2,912.83, 4,020.12 and 1,653.62

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Solution

The fourth proportional to 2,912.83, 4,020.12 and 1,653.62 is: 2,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.83 : 4,020.12 = 1,653.62 : x
  2. Step 2: Convert to fraction form
    2,912.83/4,020.12 = 1,653.62/x
  3. Step 3: Cross multiply
    2,912.83x = 4,020.12 × 1,653.62
  4. Step 4: Simplify right side
    2,912.83x = 6,647,750.83
  5. Step 5: Solve for x
    x = 6,647,750.83/2,912.83
  6. Step 6: Final answer
    x = 2,282.23

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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.