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Finding the Fourth Proportional to 3,341.92, 4,611.76 and 1,829.42

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Solution

The fourth proportional to 3,341.92, 4,611.76 and 1,829.42 is: 2,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.92 : 4,611.76 = 1,829.42 : x
  2. Step 2: Convert to fraction form
    3,341.92/4,611.76 = 1,829.42/x
  3. Step 3: Cross multiply
    3,341.92x = 4,611.76 × 1,829.42
  4. Step 4: Simplify right side
    3,341.92x = 8,436,845.98
  5. Step 5: Solve for x
    x = 8,436,845.98/3,341.92
  6. Step 6: Final answer
    x = 2,524.55

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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.