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Finding the Fourth Proportional to 2,636.39, 3,641.16 and 2,046.03

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Solution

The fourth proportional to 2,636.39, 3,641.16 and 2,046.03 is: 2,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.39 : 3,641.16 = 2,046.03 : x
  2. Step 2: Convert to fraction form
    2,636.39/3,641.16 = 2,046.03/x
  3. Step 3: Cross multiply
    2,636.39x = 3,641.16 × 2,046.03
  4. Step 4: Simplify right side
    2,636.39x = 7,449,930.27
  5. Step 5: Solve for x
    x = 7,449,930.27/2,636.39
  6. Step 6: Final answer
    x = 2,825.80

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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.