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Finding the Fourth Proportional to 1,895.26, 2,842.17 and 662.53

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Solution

The fourth proportional to 1,895.26, 2,842.17 and 662.53 is: 993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.26 : 2,842.17 = 662.53 : x
  2. Step 2: Convert to fraction form
    1,895.26/2,842.17 = 662.53/x
  3. Step 3: Cross multiply
    1,895.26x = 2,842.17 × 662.53
  4. Step 4: Simplify right side
    1,895.26x = 1,883,022.89
  5. Step 5: Solve for x
    x = 1,883,022.89/1,895.26
  6. Step 6: Final answer
    x = 993.54

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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.