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Finding the Fourth Proportional to 3,096.78, 4,272.92 and 1,962.81

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Solution

The fourth proportional to 3,096.78, 4,272.92 and 1,962.81 is: 2,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.78 : 4,272.92 = 1,962.81 : x
  2. Step 2: Convert to fraction form
    3,096.78/4,272.92 = 1,962.81/x
  3. Step 3: Cross multiply
    3,096.78x = 4,272.92 × 1,962.81
  4. Step 4: Simplify right side
    3,096.78x = 8,386,927.65
  5. Step 5: Solve for x
    x = 8,386,927.65/3,096.78
  6. Step 6: Final answer
    x = 2,708.28

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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.