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Finding the Fourth Proportional to 3,344.70, 4,612.64 and 2,209.89

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Solution

The fourth proportional to 3,344.70, 4,612.64 and 2,209.89 is: 3,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.70 : 4,612.64 = 2,209.89 : x
  2. Step 2: Convert to fraction form
    3,344.70/4,612.64 = 2,209.89/x
  3. Step 3: Cross multiply
    3,344.70x = 4,612.64 × 2,209.89
  4. Step 4: Simplify right side
    3,344.70x = 10,193,415.96
  5. Step 5: Solve for x
    x = 10,193,415.96/3,344.70
  6. Step 6: Final answer
    x = 3,047.63

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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.