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Finding the Fourth Proportional to 3,100.36, 4,651.36 and 1,020.68

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Solution

The fourth proportional to 3,100.36, 4,651.36 and 1,020.68 is: 1,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.36 : 4,651.36 = 1,020.68 : x
  2. Step 2: Convert to fraction form
    3,100.36/4,651.36 = 1,020.68/x
  3. Step 3: Cross multiply
    3,100.36x = 4,651.36 × 1,020.68
  4. Step 4: Simplify right side
    3,100.36x = 4,747,550.12
  5. Step 5: Solve for x
    x = 4,747,550.12/3,100.36
  6. Step 6: Final answer
    x = 1,531.29

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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.