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Finding the Fourth Proportional to 1,861.43, 2,792.14 and 628.86

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Solution

The fourth proportional to 1,861.43, 2,792.14 and 628.86 is: 943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.43 : 2,792.14 = 628.86 : x
  2. Step 2: Convert to fraction form
    1,861.43/2,792.14 = 628.86/x
  3. Step 3: Cross multiply
    1,861.43x = 2,792.14 × 628.86
  4. Step 4: Simplify right side
    1,861.43x = 1,755,863.59
  5. Step 5: Solve for x
    x = 1,755,863.59/1,861.43
  6. Step 6: Final answer
    x = 943.29

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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.