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Finding the Fourth Proportional to 2,949.62, 4,072.77 and 1,832.18

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Solution

The fourth proportional to 2,949.62, 4,072.77 and 1,832.18 is: 2,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.62 : 4,072.77 = 1,832.18 : x
  2. Step 2: Convert to fraction form
    2,949.62/4,072.77 = 1,832.18/x
  3. Step 3: Cross multiply
    2,949.62x = 4,072.77 × 1,832.18
  4. Step 4: Simplify right side
    2,949.62x = 7,462,047.74
  5. Step 5: Solve for x
    x = 7,462,047.74/2,949.62
  6. Step 6: Final answer
    x = 2,529.83

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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.