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Finding the Fourth Proportional to 3,196.94, 4,412.97 and 2,364.33

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Solution

The fourth proportional to 3,196.94, 4,412.97 and 2,364.33 is: 3,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.94 : 4,412.97 = 2,364.33 : x
  2. Step 2: Convert to fraction form
    3,196.94/4,412.97 = 2,364.33/x
  3. Step 3: Cross multiply
    3,196.94x = 4,412.97 × 2,364.33
  4. Step 4: Simplify right side
    3,196.94x = 10,433,733.91
  5. Step 5: Solve for x
    x = 10,433,733.91/3,196.94
  6. Step 6: Final answer
    x = 3,263.67

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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.