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Finding the Fourth Proportional to 2,652.48, 3,659.43 and 1,643.73

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Solution

The fourth proportional to 2,652.48, 3,659.43 and 1,643.73 is: 2,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.48 : 3,659.43 = 1,643.73 : x
  2. Step 2: Convert to fraction form
    2,652.48/3,659.43 = 1,643.73/x
  3. Step 3: Cross multiply
    2,652.48x = 3,659.43 × 1,643.73
  4. Step 4: Simplify right side
    2,652.48x = 6,015,105.73
  5. Step 5: Solve for x
    x = 6,015,105.73/2,652.48
  6. Step 6: Final answer
    x = 2,267.73

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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.