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Finding the Fourth Proportional to 2,616.41, 3,609.41 and 1,671.71

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Solution

The fourth proportional to 2,616.41, 3,609.41 and 1,671.71 is: 2,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.41 : 3,609.41 = 1,671.71 : x
  2. Step 2: Convert to fraction form
    2,616.41/3,609.41 = 1,671.71/x
  3. Step 3: Cross multiply
    2,616.41x = 3,609.41 × 1,671.71
  4. Step 4: Simplify right side
    2,616.41x = 6,033,860.39
  5. Step 5: Solve for x
    x = 6,033,860.39/2,616.41
  6. Step 6: Final answer
    x = 2,306.16

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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.