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Finding the Fourth Proportional to 1,861.90, 2,792.91 and 563.38

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Solution

The fourth proportional to 1,861.90, 2,792.91 and 563.38 is: 845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.90 : 2,792.91 = 563.38 : x
  2. Step 2: Convert to fraction form
    1,861.90/2,792.91 = 563.38/x
  3. Step 3: Cross multiply
    1,861.90x = 2,792.91 × 563.38
  4. Step 4: Simplify right side
    1,861.90x = 1,573,469.64
  5. Step 5: Solve for x
    x = 1,573,469.64/1,861.90
  6. Step 6: Final answer
    x = 845.09

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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.