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Finding the Fourth Proportional to 1,604.60, 2,400.04 and 1,339.44

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Solution

The fourth proportional to 1,604.60, 2,400.04 and 1,339.44 is: 2,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.60 : 2,400.04 = 1,339.44 : x
  2. Step 2: Convert to fraction form
    1,604.60/2,400.04 = 1,339.44/x
  3. Step 3: Cross multiply
    1,604.60x = 2,400.04 × 1,339.44
  4. Step 4: Simplify right side
    1,604.60x = 3,214,709.58
  5. Step 5: Solve for x
    x = 3,214,709.58/1,604.60
  6. Step 6: Final answer
    x = 2,003.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.