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Finding the Fourth Proportional to 2,299.82, 3,174.04 and 1,305.42

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Solution

The fourth proportional to 2,299.82, 3,174.04 and 1,305.42 is: 1,801.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.82 : 3,174.04 = 1,305.42 : x
  2. Step 2: Convert to fraction form
    2,299.82/3,174.04 = 1,305.42/x
  3. Step 3: Cross multiply
    2,299.82x = 3,174.04 × 1,305.42
  4. Step 4: Simplify right side
    2,299.82x = 4,143,437.68
  5. Step 5: Solve for x
    x = 4,143,437.68/2,299.82
  6. Step 6: Final answer
    x = 1,801.64

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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.