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Finding the Fourth Proportional to 3,433.04, 5,149.58 and 967.88

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Solution

The fourth proportional to 3,433.04, 5,149.58 and 967.88 is: 1,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.04 : 5,149.58 = 967.88 : x
  2. Step 2: Convert to fraction form
    3,433.04/5,149.58 = 967.88/x
  3. Step 3: Cross multiply
    3,433.04x = 5,149.58 × 967.88
  4. Step 4: Simplify right side
    3,433.04x = 4,984,175.49
  5. Step 5: Solve for x
    x = 4,984,175.49/3,433.04
  6. Step 6: Final answer
    x = 1,451.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.