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Finding the Fourth Proportional to 3,234.18, 4,849.74 and 1,478.67

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Solution

The fourth proportional to 3,234.18, 4,849.74 and 1,478.67 is: 2,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.18 : 4,849.74 = 1,478.67 : x
  2. Step 2: Convert to fraction form
    3,234.18/4,849.74 = 1,478.67/x
  3. Step 3: Cross multiply
    3,234.18x = 4,849.74 × 1,478.67
  4. Step 4: Simplify right side
    3,234.18x = 7,171,146.86
  5. Step 5: Solve for x
    x = 7,171,146.86/3,234.18
  6. Step 6: Final answer
    x = 2,217.30

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