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Finding the Fourth Proportional to 2,474.20, 3,706.80 and 1,957.60

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Solution

The fourth proportional to 2,474.20, 3,706.80 and 1,957.60 is: 2,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.20 : 3,706.80 = 1,957.60 : x
  2. Step 2: Convert to fraction form
    2,474.20/3,706.80 = 1,957.60/x
  3. Step 3: Cross multiply
    2,474.20x = 3,706.80 × 1,957.60
  4. Step 4: Simplify right side
    2,474.20x = 7,256,431.68
  5. Step 5: Solve for x
    x = 7,256,431.68/2,474.20
  6. Step 6: Final answer
    x = 2,932.84

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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.