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Finding the Fourth Proportional to 2,961.34, 4,086.62 and 1,635.08

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Solution

The fourth proportional to 2,961.34, 4,086.62 and 1,635.08 is: 2,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.34 : 4,086.62 = 1,635.08 : x
  2. Step 2: Convert to fraction form
    2,961.34/4,086.62 = 1,635.08/x
  3. Step 3: Cross multiply
    2,961.34x = 4,086.62 × 1,635.08
  4. Step 4: Simplify right side
    2,961.34x = 6,681,928.15
  5. Step 5: Solve for x
    x = 6,681,928.15/2,961.34
  6. Step 6: Final answer
    x = 2,256.39

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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.