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Finding the Fourth Proportional to 4,913.50, 7,370.25 and 1,450.66

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Solution

The fourth proportional to 4,913.50, 7,370.25 and 1,450.66 is: 2,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.50 : 7,370.25 = 1,450.66 : x
  2. Step 2: Convert to fraction form
    4,913.50/7,370.25 = 1,450.66/x
  3. Step 3: Cross multiply
    4,913.50x = 7,370.25 × 1,450.66
  4. Step 4: Simplify right side
    4,913.50x = 10,691,726.87
  5. Step 5: Solve for x
    x = 10,691,726.87/4,913.50
  6. Step 6: Final answer
    x = 2,175.99

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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.