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Finding the Fourth Proportional to 3,339.40, 4,608.76 and 1,942.14

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Solution

The fourth proportional to 3,339.40, 4,608.76 and 1,942.14 is: 2,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.40 : 4,608.76 = 1,942.14 : x
  2. Step 2: Convert to fraction form
    3,339.40/4,608.76 = 1,942.14/x
  3. Step 3: Cross multiply
    3,339.40x = 4,608.76 × 1,942.14
  4. Step 4: Simplify right side
    3,339.40x = 8,950,857.15
  5. Step 5: Solve for x
    x = 8,950,857.15/3,339.40
  6. Step 6: Final answer
    x = 2,680.38

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1.5x scale

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.