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Finding the Fourth Proportional to 3,162.40, 4,740 and 1,213.76

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Solution

The fourth proportional to 3,162.40, 4,740 and 1,213.76 is: 1,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.40 : 4,740 = 1,213.76 : x
  2. Step 2: Convert to fraction form
    3,162.40/4,740 = 1,213.76/x
  3. Step 3: Cross multiply
    3,162.40x = 4,740 × 1,213.76
  4. Step 4: Simplify right side
    3,162.40x = 5,753,222.40
  5. Step 5: Solve for x
    x = 5,753,222.40/3,162.40
  6. Step 6: Final answer
    x = 1,819.26

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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.