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Finding the Fourth Proportional to 2,850.35, 3,932.01 and 1,670.63

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Solution

The fourth proportional to 2,850.35, 3,932.01 and 1,670.63 is: 2,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.35 : 3,932.01 = 1,670.63 : x
  2. Step 2: Convert to fraction form
    2,850.35/3,932.01 = 1,670.63/x
  3. Step 3: Cross multiply
    2,850.35x = 3,932.01 × 1,670.63
  4. Step 4: Simplify right side
    2,850.35x = 6,568,914.21
  5. Step 5: Solve for x
    x = 6,568,914.21/2,850.35
  6. Step 6: Final answer
    x = 2,304.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.