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Finding the Fourth Proportional to 3,234.63, 4,851.05 and 894.08

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Solution

The fourth proportional to 3,234.63, 4,851.05 and 894.08 is: 1,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.63 : 4,851.05 = 894.08 : x
  2. Step 2: Convert to fraction form
    3,234.63/4,851.05 = 894.08/x
  3. Step 3: Cross multiply
    3,234.63x = 4,851.05 × 894.08
  4. Step 4: Simplify right side
    3,234.63x = 4,337,198.06
  5. Step 5: Solve for x
    x = 4,337,198.06/3,234.63
  6. Step 6: Final answer
    x = 1,340.86

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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.