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Finding the Fourth Proportional to 3,158.44, 4,738.70 and 967.19

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Solution

The fourth proportional to 3,158.44, 4,738.70 and 967.19 is: 1,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.44 : 4,738.70 = 967.19 : x
  2. Step 2: Convert to fraction form
    3,158.44/4,738.70 = 967.19/x
  3. Step 3: Cross multiply
    3,158.44x = 4,738.70 × 967.19
  4. Step 4: Simplify right side
    3,158.44x = 4,583,201.98
  5. Step 5: Solve for x
    x = 4,583,201.98/3,158.44
  6. Step 6: Final answer
    x = 1,451.10

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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.