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Finding the Fourth Proportional to 2,066.46, 3,096 and 1,717.74

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Solution

The fourth proportional to 2,066.46, 3,096 and 1,717.74 is: 2,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.46 : 3,096 = 1,717.74 : x
  2. Step 2: Convert to fraction form
    2,066.46/3,096 = 1,717.74/x
  3. Step 3: Cross multiply
    2,066.46x = 3,096 × 1,717.74
  4. Step 4: Simplify right side
    2,066.46x = 5,318,123.04
  5. Step 5: Solve for x
    x = 5,318,123.04/2,066.46
  6. Step 6: Final answer
    x = 2,573.54

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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.