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Finding the Fourth Proportional to 2,118.16, 3,176.46 and 731.14

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Solution

The fourth proportional to 2,118.16, 3,176.46 and 731.14 is: 1,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.16 : 3,176.46 = 731.14 : x
  2. Step 2: Convert to fraction form
    2,118.16/3,176.46 = 731.14/x
  3. Step 3: Cross multiply
    2,118.16x = 3,176.46 × 731.14
  4. Step 4: Simplify right side
    2,118.16x = 2,322,436.96
  5. Step 5: Solve for x
    x = 2,322,436.96/2,118.16
  6. Step 6: Final answer
    x = 1,096.44

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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.