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Finding the Fourth Proportional to 3,167.96, 4,756.24 and 1,782.27

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Solution

The fourth proportional to 3,167.96, 4,756.24 and 1,782.27 is: 2,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.96 : 4,756.24 = 1,782.27 : x
  2. Step 2: Convert to fraction form
    3,167.96/4,756.24 = 1,782.27/x
  3. Step 3: Cross multiply
    3,167.96x = 4,756.24 × 1,782.27
  4. Step 4: Simplify right side
    3,167.96x = 8,476,902.19
  5. Step 5: Solve for x
    x = 8,476,902.19/3,167.96
  6. Step 6: Final answer
    x = 2,675.83

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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.