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Finding the Fourth Proportional to 4,464.54, 6,698.61 and 1,997.67

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Solution

The fourth proportional to 4,464.54, 6,698.61 and 1,997.67 is: 2,997.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.54 : 6,698.61 = 1,997.67 : x
  2. Step 2: Convert to fraction form
    4,464.54/6,698.61 = 1,997.67/x
  3. Step 3: Cross multiply
    4,464.54x = 6,698.61 × 1,997.67
  4. Step 4: Simplify right side
    4,464.54x = 13,381,612.24
  5. Step 5: Solve for x
    x = 13,381,612.24/4,464.54
  6. Step 6: Final answer
    x = 2,997.31

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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.