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Finding the Fourth Proportional to 2,442.45, 3,372.02 and 1,604.62

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Solution

The fourth proportional to 2,442.45, 3,372.02 and 1,604.62 is: 2,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.45 : 3,372.02 = 1,604.62 : x
  2. Step 2: Convert to fraction form
    2,442.45/3,372.02 = 1,604.62/x
  3. Step 3: Cross multiply
    2,442.45x = 3,372.02 × 1,604.62
  4. Step 4: Simplify right side
    2,442.45x = 5,410,806.31
  5. Step 5: Solve for x
    x = 5,410,806.31/2,442.45
  6. Step 6: Final answer
    x = 2,215.32

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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.