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Finding the Fourth Proportional to 3,234.35, 4,851.62 and 894.53

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Solution

The fourth proportional to 3,234.35, 4,851.62 and 894.53 is: 1,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.35 : 4,851.62 = 894.53 : x
  2. Step 2: Convert to fraction form
    3,234.35/4,851.62 = 894.53/x
  3. Step 3: Cross multiply
    3,234.35x = 4,851.62 × 894.53
  4. Step 4: Simplify right side
    3,234.35x = 4,339,919.64
  5. Step 5: Solve for x
    x = 4,339,919.64/3,234.35
  6. Step 6: Final answer
    x = 1,341.82

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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.