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Finding the Fourth Proportional to 2,263.68, 3,121.74 and 2,096.01

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Solution

The fourth proportional to 2,263.68, 3,121.74 and 2,096.01 is: 2,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.68 : 3,121.74 = 2,096.01 : x
  2. Step 2: Convert to fraction form
    2,263.68/3,121.74 = 2,096.01/x
  3. Step 3: Cross multiply
    2,263.68x = 3,121.74 × 2,096.01
  4. Step 4: Simplify right side
    2,263.68x = 6,543,198.26
  5. Step 5: Solve for x
    x = 6,543,198.26/2,263.68
  6. Step 6: Final answer
    x = 2,890.51

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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.