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Finding the Fourth Proportional to 2,045.82, 3,061.41 and 1,608.42

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Solution

The fourth proportional to 2,045.82, 3,061.41 and 1,608.42 is: 2,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.82 : 3,061.41 = 1,608.42 : x
  2. Step 2: Convert to fraction form
    2,045.82/3,061.41 = 1,608.42/x
  3. Step 3: Cross multiply
    2,045.82x = 3,061.41 × 1,608.42
  4. Step 4: Simplify right side
    2,045.82x = 4,924,033.07
  5. Step 5: Solve for x
    x = 4,924,033.07/2,045.82
  6. Step 6: Final answer
    x = 2,406.88

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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.