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Finding the Fourth Proportional to 2,415.63, 3,622.78 and 855.43

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Solution

The fourth proportional to 2,415.63, 3,622.78 and 855.43 is: 1,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.63 : 3,622.78 = 855.43 : x
  2. Step 2: Convert to fraction form
    2,415.63/3,622.78 = 855.43/x
  3. Step 3: Cross multiply
    2,415.63x = 3,622.78 × 855.43
  4. Step 4: Simplify right side
    2,415.63x = 3,099,023.50
  5. Step 5: Solve for x
    x = 3,099,023.50/2,415.63
  6. Step 6: Final answer
    x = 1,282.90

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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.