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Finding the Fourth Proportional to 4,201.52, 6,302.48 and 1,604.25

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Solution

The fourth proportional to 4,201.52, 6,302.48 and 1,604.25 is: 2,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.52 : 6,302.48 = 1,604.25 : x
  2. Step 2: Convert to fraction form
    4,201.52/6,302.48 = 1,604.25/x
  3. Step 3: Cross multiply
    4,201.52x = 6,302.48 × 1,604.25
  4. Step 4: Simplify right side
    4,201.52x = 10,110,745.52
  5. Step 5: Solve for x
    x = 10,110,745.52/4,201.52
  6. Step 6: Final answer
    x = 2,406.45

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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.