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Finding the Fourth Proportional to 4,463.28, 6,695.76 and 1,690.78

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Solution

The fourth proportional to 4,463.28, 6,695.76 and 1,690.78 is: 2,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.28 : 6,695.76 = 1,690.78 : x
  2. Step 2: Convert to fraction form
    4,463.28/6,695.76 = 1,690.78/x
  3. Step 3: Cross multiply
    4,463.28x = 6,695.76 × 1,690.78
  4. Step 4: Simplify right side
    4,463.28x = 11,321,057.09
  5. Step 5: Solve for x
    x = 11,321,057.09/4,463.28
  6. Step 6: Final answer
    x = 2,536.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.