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Finding the Fourth Proportional to 3,081.64, 4,252.68 and 1,684.48

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Solution

The fourth proportional to 3,081.64, 4,252.68 and 1,684.48 is: 2,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.64 : 4,252.68 = 1,684.48 : x
  2. Step 2: Convert to fraction form
    3,081.64/4,252.68 = 1,684.48/x
  3. Step 3: Cross multiply
    3,081.64x = 4,252.68 × 1,684.48
  4. Step 4: Simplify right side
    3,081.64x = 7,163,554.41
  5. Step 5: Solve for x
    x = 7,163,554.41/3,081.64
  6. Step 6: Final answer
    x = 2,324.59

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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.