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Finding the Fourth Proportional to 3,297.86, 4,944.05 and 1,216.67

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Solution

The fourth proportional to 3,297.86, 4,944.05 and 1,216.67 is: 1,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.86 : 4,944.05 = 1,216.67 : x
  2. Step 2: Convert to fraction form
    3,297.86/4,944.05 = 1,216.67/x
  3. Step 3: Cross multiply
    3,297.86x = 4,944.05 × 1,216.67
  4. Step 4: Simplify right side
    3,297.86x = 6,015,246.51
  5. Step 5: Solve for x
    x = 6,015,246.51/3,297.86
  6. Step 6: Final answer
    x = 1,823.99

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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.