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Finding the Fourth Proportional to 2,096.96, 3,146.46 and 864.74

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Solution

The fourth proportional to 2,096.96, 3,146.46 and 864.74 is: 1,297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.96 : 3,146.46 = 864.74 : x
  2. Step 2: Convert to fraction form
    2,096.96/3,146.46 = 864.74/x
  3. Step 3: Cross multiply
    2,096.96x = 3,146.46 × 864.74
  4. Step 4: Simplify right side
    2,096.96x = 2,720,869.82
  5. Step 5: Solve for x
    x = 2,720,869.82/2,096.96
  6. Step 6: Final answer
    x = 1,297.53

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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.