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Finding the Fourth Proportional to 3,340, 4,608.94 and 1,847.80

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Solution

The fourth proportional to 3,340, 4,608.94 and 1,847.80 is: 2,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340 : 4,608.94 = 1,847.80 : x
  2. Step 2: Convert to fraction form
    3,340/4,608.94 = 1,847.80/x
  3. Step 3: Cross multiply
    3,340x = 4,608.94 × 1,847.80
  4. Step 4: Simplify right side
    3,340x = 8,516,399.33
  5. Step 5: Solve for x
    x = 8,516,399.33/3,340
  6. Step 6: Final answer
    x = 2,549.82

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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.