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Finding the Fourth Proportional to 2,419.65, 3,629.46 and 1,597.73

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Solution

The fourth proportional to 2,419.65, 3,629.46 and 1,597.73 is: 2,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.65 : 3,629.46 = 1,597.73 : x
  2. Step 2: Convert to fraction form
    2,419.65/3,629.46 = 1,597.73/x
  3. Step 3: Cross multiply
    2,419.65x = 3,629.46 × 1,597.73
  4. Step 4: Simplify right side
    2,419.65x = 5,798,884.97
  5. Step 5: Solve for x
    x = 5,798,884.97/2,419.65
  6. Step 6: Final answer
    x = 2,396.58

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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.