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Finding the Fourth Proportional to 2,960.50, 4,084.25 and 2,076.88

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Solution

The fourth proportional to 2,960.50, 4,084.25 and 2,076.88 is: 2,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.50 : 4,084.25 = 2,076.88 : x
  2. Step 2: Convert to fraction form
    2,960.50/4,084.25 = 2,076.88/x
  3. Step 3: Cross multiply
    2,960.50x = 4,084.25 × 2,076.88
  4. Step 4: Simplify right side
    2,960.50x = 8,482,497.14
  5. Step 5: Solve for x
    x = 8,482,497.14/2,960.50
  6. Step 6: Final answer
    x = 2,865.22

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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.