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Finding the Fourth Proportional to 3,344.70, 5,011.65 and 2,109.90

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Solution

The fourth proportional to 3,344.70, 5,011.65 and 2,109.90 is: 3,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.70 : 5,011.65 = 2,109.90 : x
  2. Step 2: Convert to fraction form
    3,344.70/5,011.65 = 2,109.90/x
  3. Step 3: Cross multiply
    3,344.70x = 5,011.65 × 2,109.90
  4. Step 4: Simplify right side
    3,344.70x = 10,574,080.34
  5. Step 5: Solve for x
    x = 10,574,080.34/3,344.70
  6. Step 6: Final answer
    x = 3,161.44

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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.