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Finding the Fourth Proportional to 3,232.36, 4,849.98 and 1,693

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Solution

The fourth proportional to 3,232.36, 4,849.98 and 1,693 is: 2,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.36 : 4,849.98 = 1,693 : x
  2. Step 2: Convert to fraction form
    3,232.36/4,849.98 = 1,693/x
  3. Step 3: Cross multiply
    3,232.36x = 4,849.98 × 1,693
  4. Step 4: Simplify right side
    3,232.36x = 8,211,016.14
  5. Step 5: Solve for x
    x = 8,211,016.14/3,232.36
  6. Step 6: Final answer
    x = 2,540.25

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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.