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Finding the Fourth Proportional to 8,454.44, 12,680.16 and 2,297

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Solution

The fourth proportional to 8,454.44, 12,680.16 and 2,297 is: 3,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.44 : 12,680.16 = 2,297 : x
  2. Step 2: Convert to fraction form
    8,454.44/12,680.16 = 2,297/x
  3. Step 3: Cross multiply
    8,454.44x = 12,680.16 × 2,297
  4. Step 4: Simplify right side
    8,454.44x = 29,126,327.52
  5. Step 5: Solve for x
    x = 29,126,327.52/8,454.44
  6. Step 6: Final answer
    x = 3,445.09

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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.