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Finding the Fourth Proportional to 3,234.40, 4,850.96 and 1,478.86

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Solution

The fourth proportional to 3,234.40, 4,850.96 and 1,478.86 is: 2,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.40 : 4,850.96 = 1,478.86 : x
  2. Step 2: Convert to fraction form
    3,234.40/4,850.96 = 1,478.86/x
  3. Step 3: Cross multiply
    3,234.40x = 4,850.96 × 1,478.86
  4. Step 4: Simplify right side
    3,234.40x = 7,173,890.71
  5. Step 5: Solve for x
    x = 7,173,890.71/3,234.40
  6. Step 6: Final answer
    x = 2,218.00

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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.