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Finding the Fourth Proportional to 2,960.84, 4,086.00 and 1,634.55

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Solution

The fourth proportional to 2,960.84, 4,086.00 and 1,634.55 is: 2,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.84 : 4,086.00 = 1,634.55 : x
  2. Step 2: Convert to fraction form
    2,960.84/4,086.00 = 1,634.55/x
  3. Step 3: Cross multiply
    2,960.84x = 4,086.00 × 1,634.55
  4. Step 4: Simplify right side
    2,960.84x = 6,678,765.17
  5. Step 5: Solve for x
    x = 6,678,765.17/2,960.84
  6. Step 6: Final answer
    x = 2,255.70

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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.