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Finding the Fourth Proportional to 1,861.23, 2,792.20 and 628.66

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Solution

The fourth proportional to 1,861.23, 2,792.20 and 628.66 is: 943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.23 : 2,792.20 = 628.66 : x
  2. Step 2: Convert to fraction form
    1,861.23/2,792.20 = 628.66/x
  3. Step 3: Cross multiply
    1,861.23x = 2,792.20 × 628.66
  4. Step 4: Simplify right side
    1,861.23x = 1,755,344.45
  5. Step 5: Solve for x
    x = 1,755,344.45/1,861.23
  6. Step 6: Final answer
    x = 943.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.