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Finding the Fourth Proportional to 3,096.81, 4,644.69 and 1,122.07

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Solution

The fourth proportional to 3,096.81, 4,644.69 and 1,122.07 is: 1,682.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.81 : 4,644.69 = 1,122.07 : x
  2. Step 2: Convert to fraction form
    3,096.81/4,644.69 = 1,122.07/x
  3. Step 3: Cross multiply
    3,096.81x = 4,644.69 × 1,122.07
  4. Step 4: Simplify right side
    3,096.81x = 5,211,667.31
  5. Step 5: Solve for x
    x = 5,211,667.31/3,096.81
  6. Step 6: Final answer
    x = 1,682.91

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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.