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Finding the Fourth Proportional to 3,096.66, 4,272.84 and 1,837.92

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Solution

The fourth proportional to 3,096.66, 4,272.84 and 1,837.92 is: 2,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.66 : 4,272.84 = 1,837.92 : x
  2. Step 2: Convert to fraction form
    3,096.66/4,272.84 = 1,837.92/x
  3. Step 3: Cross multiply
    3,096.66x = 4,272.84 × 1,837.92
  4. Step 4: Simplify right side
    3,096.66x = 7,853,138.09
  5. Step 5: Solve for x
    x = 7,853,138.09/3,096.66
  6. Step 6: Final answer
    x = 2,536.00

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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.