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Finding the Fourth Proportional to 3,394.96, 4,684.98 and 2,213.80

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Solution

The fourth proportional to 3,394.96, 4,684.98 and 2,213.80 is: 3,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.96 : 4,684.98 = 2,213.80 : x
  2. Step 2: Convert to fraction form
    3,394.96/4,684.98 = 2,213.80/x
  3. Step 3: Cross multiply
    3,394.96x = 4,684.98 × 2,213.80
  4. Step 4: Simplify right side
    3,394.96x = 10,371,608.72
  5. Step 5: Solve for x
    x = 10,371,608.72/3,394.96
  6. Step 6: Final answer
    x = 3,055.00

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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.