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Finding the Fourth Proportional to 2,567.57, 3,857.52 and 1,644.92

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Solution

The fourth proportional to 2,567.57, 3,857.52 and 1,644.92 is: 2,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.57 : 3,857.52 = 1,644.92 : x
  2. Step 2: Convert to fraction form
    2,567.57/3,857.52 = 1,644.92/x
  3. Step 3: Cross multiply
    2,567.57x = 3,857.52 × 1,644.92
  4. Step 4: Simplify right side
    2,567.57x = 6,345,311.80
  5. Step 5: Solve for x
    x = 6,345,311.80/2,567.57
  6. Step 6: Final answer
    x = 2,471.33

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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.