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Finding the Fourth Proportional to 3,449.50, 4,760.46 and 1,957.42

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Solution

The fourth proportional to 3,449.50, 4,760.46 and 1,957.42 is: 2,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.50 : 4,760.46 = 1,957.42 : x
  2. Step 2: Convert to fraction form
    3,449.50/4,760.46 = 1,957.42/x
  3. Step 3: Cross multiply
    3,449.50x = 4,760.46 × 1,957.42
  4. Step 4: Simplify right side
    3,449.50x = 9,318,219.61
  5. Step 5: Solve for x
    x = 9,318,219.61/3,449.50
  6. Step 6: Final answer
    x = 2,701.32

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1.5x scale

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.