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Finding the Fourth Proportional to 1,636.18, 2,453.91 and 481.66

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Solution

The fourth proportional to 1,636.18, 2,453.91 and 481.66 is: 722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.18 : 2,453.91 = 481.66 : x
  2. Step 2: Convert to fraction form
    1,636.18/2,453.91 = 481.66/x
  3. Step 3: Cross multiply
    1,636.18x = 2,453.91 × 481.66
  4. Step 4: Simplify right side
    1,636.18x = 1,181,950.29
  5. Step 5: Solve for x
    x = 1,181,950.29/1,636.18
  6. Step 6: Final answer
    x = 722.38

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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.