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Finding the Fourth Proportional to 2,704.80, 3,734.16 and 1,957.98

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Solution

The fourth proportional to 2,704.80, 3,734.16 and 1,957.98 is: 2,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.80 : 3,734.16 = 1,957.98 : x
  2. Step 2: Convert to fraction form
    2,704.80/3,734.16 = 1,957.98/x
  3. Step 3: Cross multiply
    2,704.80x = 3,734.16 × 1,957.98
  4. Step 4: Simplify right side
    2,704.80x = 7,311,410.60
  5. Step 5: Solve for x
    x = 7,311,410.60/2,704.80
  6. Step 6: Final answer
    x = 2,703.12

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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.