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Finding the Fourth Proportional to 2,655.26, 3,983.34 and 1,096.11

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Solution

The fourth proportional to 2,655.26, 3,983.34 and 1,096.11 is: 1,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.26 : 3,983.34 = 1,096.11 : x
  2. Step 2: Convert to fraction form
    2,655.26/3,983.34 = 1,096.11/x
  3. Step 3: Cross multiply
    2,655.26x = 3,983.34 × 1,096.11
  4. Step 4: Simplify right side
    2,655.26x = 4,366,178.81
  5. Step 5: Solve for x
    x = 4,366,178.81/2,655.26
  6. Step 6: Final answer
    x = 1,644.35

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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.