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Finding the Fourth Proportional to 3,081.63, 4,252.64 and 1,684.29

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Solution

The fourth proportional to 3,081.63, 4,252.64 and 1,684.29 is: 2,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.63 : 4,252.64 = 1,684.29 : x
  2. Step 2: Convert to fraction form
    3,081.63/4,252.64 = 1,684.29/x
  3. Step 3: Cross multiply
    3,081.63x = 4,252.64 × 1,684.29
  4. Step 4: Simplify right side
    3,081.63x = 7,162,670.60
  5. Step 5: Solve for x
    x = 7,162,670.60/3,081.63
  6. Step 6: Final answer
    x = 2,324.31

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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.