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Finding the Fourth Proportional to 2,464.73, 3,695.10 and 1,682.76

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Solution

The fourth proportional to 2,464.73, 3,695.10 and 1,682.76 is: 2,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.73 : 3,695.10 = 1,682.76 : x
  2. Step 2: Convert to fraction form
    2,464.73/3,695.10 = 1,682.76/x
  3. Step 3: Cross multiply
    2,464.73x = 3,695.10 × 1,682.76
  4. Step 4: Simplify right side
    2,464.73x = 6,217,980.33
  5. Step 5: Solve for x
    x = 6,217,980.33/2,464.73
  6. Step 6: Final answer
    x = 2,522.78

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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.