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Finding the Fourth Proportional to 2,466.82, 3,700.83 and 1,643.05

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Solution

The fourth proportional to 2,466.82, 3,700.83 and 1,643.05 is: 2,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.82 : 3,700.83 = 1,643.05 : x
  2. Step 2: Convert to fraction form
    2,466.82/3,700.83 = 1,643.05/x
  3. Step 3: Cross multiply
    2,466.82x = 3,700.83 × 1,643.05
  4. Step 4: Simplify right side
    2,466.82x = 6,080,648.73
  5. Step 5: Solve for x
    x = 6,080,648.73/2,466.82
  6. Step 6: Final answer
    x = 2,464.97

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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.