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Finding the Fourth Proportional to 2,685.94, 3,708.31 and 2,405.68

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Solution

The fourth proportional to 2,685.94, 3,708.31 and 2,405.68 is: 3,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.94 : 3,708.31 = 2,405.68 : x
  2. Step 2: Convert to fraction form
    2,685.94/3,708.31 = 2,405.68/x
  3. Step 3: Cross multiply
    2,685.94x = 3,708.31 × 2,405.68
  4. Step 4: Simplify right side
    2,685.94x = 8,921,007.20
  5. Step 5: Solve for x
    x = 8,921,007.20/2,685.94
  6. Step 6: Final answer
    x = 3,321.37

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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.