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Finding the Fourth Proportional to 2,096.16, 3,142.28 and 864.60

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Solution

The fourth proportional to 2,096.16, 3,142.28 and 864.60 is: 1,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.16 : 3,142.28 = 864.60 : x
  2. Step 2: Convert to fraction form
    2,096.16/3,142.28 = 864.60/x
  3. Step 3: Cross multiply
    2,096.16x = 3,142.28 × 864.60
  4. Step 4: Simplify right side
    2,096.16x = 2,716,815.29
  5. Step 5: Solve for x
    x = 2,716,815.29/2,096.16
  6. Step 6: Final answer
    x = 1,296.09

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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.