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Finding the Fourth Proportional to 4,449.85, 6,674.64 and 1,162.96

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Solution

The fourth proportional to 4,449.85, 6,674.64 and 1,162.96 is: 1,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.85 : 6,674.64 = 1,162.96 : x
  2. Step 2: Convert to fraction form
    4,449.85/6,674.64 = 1,162.96/x
  3. Step 3: Cross multiply
    4,449.85x = 6,674.64 × 1,162.96
  4. Step 4: Simplify right side
    4,449.85x = 7,762,339.33
  5. Step 5: Solve for x
    x = 7,762,339.33/4,449.85
  6. Step 6: Final answer
    x = 1,744.40

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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.