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Finding the Fourth Proportional to 2,951.78, 4,072.46 and 1,832.32

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Solution

The fourth proportional to 2,951.78, 4,072.46 and 1,832.32 is: 2,527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.78 : 4,072.46 = 1,832.32 : x
  2. Step 2: Convert to fraction form
    2,951.78/4,072.46 = 1,832.32/x
  3. Step 3: Cross multiply
    2,951.78x = 4,072.46 × 1,832.32
  4. Step 4: Simplify right side
    2,951.78x = 7,462,049.91
  5. Step 5: Solve for x
    x = 7,462,049.91/2,951.78
  6. Step 6: Final answer
    x = 2,527.98

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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.