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Finding the Fourth Proportional to 2,650.58, 3,655.89 and 1,641.96

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Solution

The fourth proportional to 2,650.58, 3,655.89 and 1,641.96 is: 2,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.58 : 3,655.89 = 1,641.96 : x
  2. Step 2: Convert to fraction form
    2,650.58/3,655.89 = 1,641.96/x
  3. Step 3: Cross multiply
    2,650.58x = 3,655.89 × 1,641.96
  4. Step 4: Simplify right side
    2,650.58x = 6,002,825.14
  5. Step 5: Solve for x
    x = 6,002,825.14/2,650.58
  6. Step 6: Final answer
    x = 2,264.73

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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.