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Finding the Fourth Proportional to 3,450, 4,760.70 and 1,957.98

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Solution

The fourth proportional to 3,450, 4,760.70 and 1,957.98 is: 2,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 4,760.70 = 1,957.98 : x
  2. Step 2: Convert to fraction form
    3,450/4,760.70 = 1,957.98/x
  3. Step 3: Cross multiply
    3,450x = 4,760.70 × 1,957.98
  4. Step 4: Simplify right side
    3,450x = 9,321,355.39
  5. Step 5: Solve for x
    x = 9,321,355.39/3,450
  6. Step 6: Final answer
    x = 2,701.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.