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Finding the Fourth Proportional to 3,074.22, 4,611.69 and 993.69

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Solution

The fourth proportional to 3,074.22, 4,611.69 and 993.69 is: 1,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.22 : 4,611.69 = 993.69 : x
  2. Step 2: Convert to fraction form
    3,074.22/4,611.69 = 993.69/x
  3. Step 3: Cross multiply
    3,074.22x = 4,611.69 × 993.69
  4. Step 4: Simplify right side
    3,074.22x = 4,582,590.24
  5. Step 5: Solve for x
    x = 4,582,590.24/3,074.22
  6. Step 6: Final answer
    x = 1,490.65

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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.