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Finding the Fourth Proportional to 1,638.64, 2,261.34 and 892.59

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Solution

The fourth proportional to 1,638.64, 2,261.34 and 892.59 is: 1,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.64 : 2,261.34 = 892.59 : x
  2. Step 2: Convert to fraction form
    1,638.64/2,261.34 = 892.59/x
  3. Step 3: Cross multiply
    1,638.64x = 2,261.34 × 892.59
  4. Step 4: Simplify right side
    1,638.64x = 2,018,449.47
  5. Step 5: Solve for x
    x = 2,018,449.47/1,638.64
  6. Step 6: Final answer
    x = 1,231.78

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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.