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Finding the Fourth Proportional to 2,690.78, 3,713.57 and 1,511.82

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Solution

The fourth proportional to 2,690.78, 3,713.57 and 1,511.82 is: 2,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.78 : 3,713.57 = 1,511.82 : x
  2. Step 2: Convert to fraction form
    2,690.78/3,713.57 = 1,511.82/x
  3. Step 3: Cross multiply
    2,690.78x = 3,713.57 × 1,511.82
  4. Step 4: Simplify right side
    2,690.78x = 5,614,241.84
  5. Step 5: Solve for x
    x = 5,614,241.84/2,690.78
  6. Step 6: Final answer
    x = 2,086.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.