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Finding the Fourth Proportional to 3,197.24, 4,795.68 and 1,907

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Solution

The fourth proportional to 3,197.24, 4,795.68 and 1,907 is: 2,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.24 : 4,795.68 = 1,907 : x
  2. Step 2: Convert to fraction form
    3,197.24/4,795.68 = 1,907/x
  3. Step 3: Cross multiply
    3,197.24x = 4,795.68 × 1,907
  4. Step 4: Simplify right side
    3,197.24x = 9,145,361.76
  5. Step 5: Solve for x
    x = 9,145,361.76/3,197.24
  6. Step 6: Final answer
    x = 2,860.39

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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.