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Finding the Fourth Proportional to 2,814.62, 3,880.56 and 1,928.88

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Solution

The fourth proportional to 2,814.62, 3,880.56 and 1,928.88 is: 2,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.62 : 3,880.56 = 1,928.88 : x
  2. Step 2: Convert to fraction form
    2,814.62/3,880.56 = 1,928.88/x
  3. Step 3: Cross multiply
    2,814.62x = 3,880.56 × 1,928.88
  4. Step 4: Simplify right side
    2,814.62x = 7,485,134.57
  5. Step 5: Solve for x
    x = 7,485,134.57/2,814.62
  6. Step 6: Final answer
    x = 2,659.38

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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.