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Finding the Fourth Proportional to 3,100.94, 4,649.16 and 1,020.26

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Solution

The fourth proportional to 3,100.94, 4,649.16 and 1,020.26 is: 1,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.94 : 4,649.16 = 1,020.26 : x
  2. Step 2: Convert to fraction form
    3,100.94/4,649.16 = 1,020.26/x
  3. Step 3: Cross multiply
    3,100.94x = 4,649.16 × 1,020.26
  4. Step 4: Simplify right side
    3,100.94x = 4,743,351.98
  5. Step 5: Solve for x
    x = 4,743,351.98/3,100.94
  6. Step 6: Final answer
    x = 1,529.65

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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.