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Finding the Fourth Proportional to 2,966.37, 4,093.37 and 1,640.12

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Solution

The fourth proportional to 2,966.37, 4,093.37 and 1,640.12 is: 2,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.37 : 4,093.37 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    2,966.37/4,093.37 = 1,640.12/x
  3. Step 3: Cross multiply
    2,966.37x = 4,093.37 × 1,640.12
  4. Step 4: Simplify right side
    2,966.37x = 6,713,589.34
  5. Step 5: Solve for x
    x = 6,713,589.34/2,966.37
  6. Step 6: Final answer
    x = 2,263.23

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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.