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Finding the Fourth Proportional to 8,441.44, 12,660.70 and 2,284

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Solution

The fourth proportional to 8,441.44, 12,660.70 and 2,284 is: 3,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.44 : 12,660.70 = 2,284 : x
  2. Step 2: Convert to fraction form
    8,441.44/12,660.70 = 2,284/x
  3. Step 3: Cross multiply
    8,441.44x = 12,660.70 × 2,284
  4. Step 4: Simplify right side
    8,441.44x = 28,917,038.80
  5. Step 5: Solve for x
    x = 28,917,038.80/8,441.44
  6. Step 6: Final answer
    x = 3,425.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.