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Finding the Fourth Proportional to 2,961.57, 4,087.08 and 1,635.42

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Solution

The fourth proportional to 2,961.57, 4,087.08 and 1,635.42 is: 2,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.57 : 4,087.08 = 1,635.42 : x
  2. Step 2: Convert to fraction form
    2,961.57/4,087.08 = 1,635.42/x
  3. Step 3: Cross multiply
    2,961.57x = 4,087.08 × 1,635.42
  4. Step 4: Simplify right side
    2,961.57x = 6,684,092.37
  5. Step 5: Solve for x
    x = 6,684,092.37/2,961.57
  6. Step 6: Final answer
    x = 2,256.94

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