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Finding the Fourth Proportional to 4,617.36, 6,921.90 and 1,694.98

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Solution

The fourth proportional to 4,617.36, 6,921.90 and 1,694.98 is: 2,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.36 : 6,921.90 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    4,617.36/6,921.90 = 1,694.98/x
  3. Step 3: Cross multiply
    4,617.36x = 6,921.90 × 1,694.98
  4. Step 4: Simplify right side
    4,617.36x = 11,732,464.76
  5. Step 5: Solve for x
    x = 11,732,464.76/4,617.36
  6. Step 6: Final answer
    x = 2,540.95

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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.