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Finding the Fourth Proportional to 1,690.78, 2,334 and 1,027.84

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Solution

The fourth proportional to 1,690.78, 2,334 and 1,027.84 is: 1,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.78 : 2,334 = 1,027.84 : x
  2. Step 2: Convert to fraction form
    1,690.78/2,334 = 1,027.84/x
  3. Step 3: Cross multiply
    1,690.78x = 2,334 × 1,027.84
  4. Step 4: Simplify right side
    1,690.78x = 2,398,978.56
  5. Step 5: Solve for x
    x = 2,398,978.56/1,690.78
  6. Step 6: Final answer
    x = 1,418.86

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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.