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Finding the Fourth Proportional to 2,471.37, 3,405.81 and 1,684.05

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Solution

The fourth proportional to 2,471.37, 3,405.81 and 1,684.05 is: 2,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.37 : 3,405.81 = 1,684.05 : x
  2. Step 2: Convert to fraction form
    2,471.37/3,405.81 = 1,684.05/x
  3. Step 3: Cross multiply
    2,471.37x = 3,405.81 × 1,684.05
  4. Step 4: Simplify right side
    2,471.37x = 5,735,554.33
  5. Step 5: Solve for x
    x = 5,735,554.33/2,471.37
  6. Step 6: Final answer
    x = 2,320.80

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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.