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Finding the Fourth Proportional to 1,682.78, 2,522.64 and 1,424.44

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Solution

The fourth proportional to 1,682.78, 2,522.64 and 1,424.44 is: 2,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.78 : 2,522.64 = 1,424.44 : x
  2. Step 2: Convert to fraction form
    1,682.78/2,522.64 = 1,424.44/x
  3. Step 3: Cross multiply
    1,682.78x = 2,522.64 × 1,424.44
  4. Step 4: Simplify right side
    1,682.78x = 3,593,342.20
  5. Step 5: Solve for x
    x = 3,593,342.20/1,682.78
  6. Step 6: Final answer
    x = 2,135.36

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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.