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Finding the Fourth Proportional to 3,161.41, 4,363.19 and 1,764.25

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Solution

The fourth proportional to 3,161.41, 4,363.19 and 1,764.25 is: 2,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.41 : 4,363.19 = 1,764.25 : x
  2. Step 2: Convert to fraction form
    3,161.41/4,363.19 = 1,764.25/x
  3. Step 3: Cross multiply
    3,161.41x = 4,363.19 × 1,764.25
  4. Step 4: Simplify right side
    3,161.41x = 7,697,749.14
  5. Step 5: Solve for x
    x = 7,697,749.14/3,161.41
  6. Step 6: Final answer
    x = 2,434.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.