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Finding the Fourth Proportional to 4,201.64, 6,305.10 and 1,604.84

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Solution

The fourth proportional to 4,201.64, 6,305.10 and 1,604.84 is: 2,408.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.64 : 6,305.10 = 1,604.84 : x
  2. Step 2: Convert to fraction form
    4,201.64/6,305.10 = 1,604.84/x
  3. Step 3: Cross multiply
    4,201.64x = 6,305.10 × 1,604.84
  4. Step 4: Simplify right side
    4,201.64x = 10,118,676.68
  5. Step 5: Solve for x
    x = 10,118,676.68/4,201.64
  6. Step 6: Final answer
    x = 2,408.27

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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.