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Finding the Fourth Proportional to 2,584.86, 3,568.44 and 1,641.66

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Solution

The fourth proportional to 2,584.86, 3,568.44 and 1,641.66 is: 2,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.86 : 3,568.44 = 1,641.66 : x
  2. Step 2: Convert to fraction form
    2,584.86/3,568.44 = 1,641.66/x
  3. Step 3: Cross multiply
    2,584.86x = 3,568.44 × 1,641.66
  4. Step 4: Simplify right side
    2,584.86x = 5,858,165.21
  5. Step 5: Solve for x
    x = 5,858,165.21/2,584.86
  6. Step 6: Final answer
    x = 2,266.34

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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.