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Finding the Fourth Proportional to 2,443.87, 3,374.10 and 1,606.06

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Solution

The fourth proportional to 2,443.87, 3,374.10 and 1,606.06 is: 2,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.87 : 3,374.10 = 1,606.06 : x
  2. Step 2: Convert to fraction form
    2,443.87/3,374.10 = 1,606.06/x
  3. Step 3: Cross multiply
    2,443.87x = 3,374.10 × 1,606.06
  4. Step 4: Simplify right side
    2,443.87x = 5,419,007.05
  5. Step 5: Solve for x
    x = 5,419,007.05/2,443.87
  6. Step 6: Final answer
    x = 2,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.