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Finding the Fourth Proportional to 3,096.64, 4,271.63 and 2,034.57

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Solution

The fourth proportional to 3,096.64, 4,271.63 and 2,034.57 is: 2,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.64 : 4,271.63 = 2,034.57 : x
  2. Step 2: Convert to fraction form
    3,096.64/4,271.63 = 2,034.57/x
  3. Step 3: Cross multiply
    3,096.64x = 4,271.63 × 2,034.57
  4. Step 4: Simplify right side
    3,096.64x = 8,690,930.25
  5. Step 5: Solve for x
    x = 8,690,930.25/3,096.64
  6. Step 6: Final answer
    x = 2,806.57

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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.