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Finding the Fourth Proportional to 2,513.63, 3,761.18 and 1,960.05

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Solution

The fourth proportional to 2,513.63, 3,761.18 and 1,960.05 is: 2,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.63 : 3,761.18 = 1,960.05 : x
  2. Step 2: Convert to fraction form
    2,513.63/3,761.18 = 1,960.05/x
  3. Step 3: Cross multiply
    2,513.63x = 3,761.18 × 1,960.05
  4. Step 4: Simplify right side
    2,513.63x = 7,372,102.38
  5. Step 5: Solve for x
    x = 7,372,102.38/2,513.63
  6. Step 6: Final answer
    x = 2,932.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.