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Finding the Fourth Proportional to 2,350.74, 3,245.44 and 1,643.82

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Solution

The fourth proportional to 2,350.74, 3,245.44 and 1,643.82 is: 2,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.74 : 3,245.44 = 1,643.82 : x
  2. Step 2: Convert to fraction form
    2,350.74/3,245.44 = 1,643.82/x
  3. Step 3: Cross multiply
    2,350.74x = 3,245.44 × 1,643.82
  4. Step 4: Simplify right side
    2,350.74x = 5,334,919.18
  5. Step 5: Solve for x
    x = 5,334,919.18/2,350.74
  6. Step 6: Final answer
    x = 2,269.46

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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.