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Finding the Fourth Proportional to 2,266.19, 3,395.43 and 1,096.74

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Solution

The fourth proportional to 2,266.19, 3,395.43 and 1,096.74 is: 1,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.19 : 3,395.43 = 1,096.74 : x
  2. Step 2: Convert to fraction form
    2,266.19/3,395.43 = 1,096.74/x
  3. Step 3: Cross multiply
    2,266.19x = 3,395.43 × 1,096.74
  4. Step 4: Simplify right side
    2,266.19x = 3,723,903.90
  5. Step 5: Solve for x
    x = 3,723,903.90/2,266.19
  6. Step 6: Final answer
    x = 1,643.25

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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.