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Finding the Fourth Proportional to 2,096.97, 3,145.59 and 1,123.89

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Solution

The fourth proportional to 2,096.97, 3,145.59 and 1,123.89 is: 1,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.97 : 3,145.59 = 1,123.89 : x
  2. Step 2: Convert to fraction form
    2,096.97/3,145.59 = 1,123.89/x
  3. Step 3: Cross multiply
    2,096.97x = 3,145.59 × 1,123.89
  4. Step 4: Simplify right side
    2,096.97x = 3,535,297.15
  5. Step 5: Solve for x
    x = 3,535,297.15/2,096.97
  6. Step 6: Final answer
    x = 1,685.91

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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.