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Finding the Fourth Proportional to 3,491.28, 4,818 and 1,919.34

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Solution

The fourth proportional to 3,491.28, 4,818 and 1,919.34 is: 2,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.28 : 4,818 = 1,919.34 : x
  2. Step 2: Convert to fraction form
    3,491.28/4,818 = 1,919.34/x
  3. Step 3: Cross multiply
    3,491.28x = 4,818 × 1,919.34
  4. Step 4: Simplify right side
    3,491.28x = 9,247,380.12
  5. Step 5: Solve for x
    x = 9,247,380.12/3,491.28
  6. Step 6: Final answer
    x = 2,648.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.