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Finding the Fourth Proportional to 2,379.75, 3,567.20 and 993.84

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Solution

The fourth proportional to 2,379.75, 3,567.20 and 993.84 is: 1,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.75 : 3,567.20 = 993.84 : x
  2. Step 2: Convert to fraction form
    2,379.75/3,567.20 = 993.84/x
  3. Step 3: Cross multiply
    2,379.75x = 3,567.20 × 993.84
  4. Step 4: Simplify right side
    2,379.75x = 3,545,221.08
  5. Step 5: Solve for x
    x = 3,545,221.08/2,379.75
  6. Step 6: Final answer
    x = 1,489.75

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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.