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Finding the Fourth Proportional to 1,635.78, 2,453.67 and 541.37

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Solution

The fourth proportional to 1,635.78, 2,453.67 and 541.37 is: 812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.78 : 2,453.67 = 541.37 : x
  2. Step 2: Convert to fraction form
    1,635.78/2,453.67 = 541.37/x
  3. Step 3: Cross multiply
    1,635.78x = 2,453.67 × 541.37
  4. Step 4: Simplify right side
    1,635.78x = 1,328,343.33
  5. Step 5: Solve for x
    x = 1,328,343.33/1,635.78
  6. Step 6: Final answer
    x = 812.06

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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.