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Finding the Fourth Proportional to 3,601.44, 5,410.80 and 2,305.44

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Solution

The fourth proportional to 3,601.44, 5,410.80 and 2,305.44 is: 3,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.44 : 5,410.80 = 2,305.44 : x
  2. Step 2: Convert to fraction form
    3,601.44/5,410.80 = 2,305.44/x
  3. Step 3: Cross multiply
    3,601.44x = 5,410.80 × 2,305.44
  4. Step 4: Simplify right side
    3,601.44x = 12,474,274.75
  5. Step 5: Solve for x
    x = 12,474,274.75/3,601.44
  6. Step 6: Final answer
    x = 3,463.69

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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.