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Finding the Fourth Proportional to 3,096.64, 4,272.78 and 1,918

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Solution

The fourth proportional to 3,096.64, 4,272.78 and 1,918 is: 2,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,272.78 = 1,918 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,272.78 = 1,918/x
  3. Step 3: Cross multiply
    3,096.64x = 4,272.78 × 1,918
  4. Step 4: Simplify right side
    3,096.64x = 8,195,192.04
  5. Step 5: Solve for x
    x = 8,195,192.04/3,096.64
  6. Step 6: Final answer
    x = 2,646.48

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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.