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Finding the Fourth Proportional to 2,906.35, 4,352.64 and 2,212.18

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Solution

The fourth proportional to 2,906.35, 4,352.64 and 2,212.18 is: 3,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.35 : 4,352.64 = 2,212.18 : x
  2. Step 2: Convert to fraction form
    2,906.35/4,352.64 = 2,212.18/x
  3. Step 3: Cross multiply
    2,906.35x = 4,352.64 × 2,212.18
  4. Step 4: Simplify right side
    2,906.35x = 9,628,823.16
  5. Step 5: Solve for x
    x = 9,628,823.16/2,906.35
  6. Step 6: Final answer
    x = 3,313.03

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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.