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Finding the Fourth Proportional to 3,081.94, 4,253.10 and 1,684.68

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Solution

The fourth proportional to 3,081.94, 4,253.10 and 1,684.68 is: 2,324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.94 : 4,253.10 = 1,684.68 : x
  2. Step 2: Convert to fraction form
    3,081.94/4,253.10 = 1,684.68/x
  3. Step 3: Cross multiply
    3,081.94x = 4,253.10 × 1,684.68
  4. Step 4: Simplify right side
    3,081.94x = 7,165,112.51
  5. Step 5: Solve for x
    x = 7,165,112.51/3,081.94
  6. Step 6: Final answer
    x = 2,324.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.