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Finding the Fourth Proportional to 2,949.72, 4,072.18 and 2,285.08

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Solution

The fourth proportional to 2,949.72, 4,072.18 and 2,285.08 is: 3,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.72 : 4,072.18 = 2,285.08 : x
  2. Step 2: Convert to fraction form
    2,949.72/4,072.18 = 2,285.08/x
  3. Step 3: Cross multiply
    2,949.72x = 4,072.18 × 2,285.08
  4. Step 4: Simplify right side
    2,949.72x = 9,305,257.07
  5. Step 5: Solve for x
    x = 9,305,257.07/2,949.72
  6. Step 6: Final answer
    x = 3,154.62

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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.