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Finding the Fourth Proportional to 3,455.25, 5,182.84 and 1,605.33

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Solution

The fourth proportional to 3,455.25, 5,182.84 and 1,605.33 is: 2,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.25 : 5,182.84 = 1,605.33 : x
  2. Step 2: Convert to fraction form
    3,455.25/5,182.84 = 1,605.33/x
  3. Step 3: Cross multiply
    3,455.25x = 5,182.84 × 1,605.33
  4. Step 4: Simplify right side
    3,455.25x = 8,320,168.54
  5. Step 5: Solve for x
    x = 8,320,168.54/3,455.25
  6. Step 6: Final answer
    x = 2,407.98

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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.