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Finding the Fourth Proportional to 2,965.57, 4,093.34 and 1,958.01

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Solution

The fourth proportional to 2,965.57, 4,093.34 and 1,958.01 is: 2,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.57 : 4,093.34 = 1,958.01 : x
  2. Step 2: Convert to fraction form
    2,965.57/4,093.34 = 1,958.01/x
  3. Step 3: Cross multiply
    2,965.57x = 4,093.34 × 1,958.01
  4. Step 4: Simplify right side
    2,965.57x = 8,014,820.90
  5. Step 5: Solve for x
    x = 8,014,820.90/2,965.57
  6. Step 6: Final answer
    x = 2,702.62

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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.