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Finding the Fourth Proportional to 3,094.46, 4,640.74 and 1,119.85

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Solution

The fourth proportional to 3,094.46, 4,640.74 and 1,119.85 is: 1,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.46 : 4,640.74 = 1,119.85 : x
  2. Step 2: Convert to fraction form
    3,094.46/4,640.74 = 1,119.85/x
  3. Step 3: Cross multiply
    3,094.46x = 4,640.74 × 1,119.85
  4. Step 4: Simplify right side
    3,094.46x = 5,196,932.69
  5. Step 5: Solve for x
    x = 5,196,932.69/3,094.46
  6. Step 6: Final answer
    x = 1,679.43

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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.