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Finding the Fourth Proportional to 2,851.54, 4,274.37 and 1,096.06

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Solution

The fourth proportional to 2,851.54, 4,274.37 and 1,096.06 is: 1,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.54 : 4,274.37 = 1,096.06 : x
  2. Step 2: Convert to fraction form
    2,851.54/4,274.37 = 1,096.06/x
  3. Step 3: Cross multiply
    2,851.54x = 4,274.37 × 1,096.06
  4. Step 4: Simplify right side
    2,851.54x = 4,684,965.98
  5. Step 5: Solve for x
    x = 4,684,965.98/2,851.54
  6. Step 6: Final answer
    x = 1,642.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.