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Finding the Fourth Proportional to 3,158.96, 4,730.16 and 2,229.48

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Solution

The fourth proportional to 3,158.96, 4,730.16 and 2,229.48 is: 3,338.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.96 : 4,730.16 = 2,229.48 : x
  2. Step 2: Convert to fraction form
    3,158.96/4,730.16 = 2,229.48/x
  3. Step 3: Cross multiply
    3,158.96x = 4,730.16 × 2,229.48
  4. Step 4: Simplify right side
    3,158.96x = 10,545,797.12
  5. Step 5: Solve for x
    x = 10,545,797.12/3,158.96
  6. Step 6: Final answer
    x = 3,338.38

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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.