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Finding the Fourth Proportional to 3,641.49, 5,460.62 and 1,694.25

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Solution

The fourth proportional to 3,641.49, 5,460.62 and 1,694.25 is: 2,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.49 : 5,460.62 = 1,694.25 : x
  2. Step 2: Convert to fraction form
    3,641.49/5,460.62 = 1,694.25/x
  3. Step 3: Cross multiply
    3,641.49x = 5,460.62 × 1,694.25
  4. Step 4: Simplify right side
    3,641.49x = 9,251,646.96
  5. Step 5: Solve for x
    x = 9,251,646.96/3,641.49
  6. Step 6: Final answer
    x = 2,540.62

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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.