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Finding the Fourth Proportional to 2,635.82, 3,953.64 and 1,249.82

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Solution

The fourth proportional to 2,635.82, 3,953.64 and 1,249.82 is: 1,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.82 : 3,953.64 = 1,249.82 : x
  2. Step 2: Convert to fraction form
    2,635.82/3,953.64 = 1,249.82/x
  3. Step 3: Cross multiply
    2,635.82x = 3,953.64 × 1,249.82
  4. Step 4: Simplify right side
    2,635.82x = 4,941,338.34
  5. Step 5: Solve for x
    x = 4,941,338.34/2,635.82
  6. Step 6: Final answer
    x = 1,874.69

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