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Finding the Fourth Proportional to 2,684.67, 4,028.70 and 1,452.93

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Solution

The fourth proportional to 2,684.67, 4,028.70 and 1,452.93 is: 2,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.67 : 4,028.70 = 1,452.93 : x
  2. Step 2: Convert to fraction form
    2,684.67/4,028.70 = 1,452.93/x
  3. Step 3: Cross multiply
    2,684.67x = 4,028.70 × 1,452.93
  4. Step 4: Simplify right side
    2,684.67x = 5,853,419.09
  5. Step 5: Solve for x
    x = 5,853,419.09/2,684.67
  6. Step 6: Final answer
    x = 2,180.31

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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.