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Finding the Fourth Proportional to 1,872.92, 2,584.42 and 1,163.74

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Solution

The fourth proportional to 1,872.92, 2,584.42 and 1,163.74 is: 1,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.92 : 2,584.42 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    1,872.92/2,584.42 = 1,163.74/x
  3. Step 3: Cross multiply
    1,872.92x = 2,584.42 × 1,163.74
  4. Step 4: Simplify right side
    1,872.92x = 3,007,597.31
  5. Step 5: Solve for x
    x = 3,007,597.31/1,872.92
  6. Step 6: Final answer
    x = 1,605.83

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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.