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Finding the Fourth Proportional to 2,407.97, 3,614.02 and 1,716.33

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Solution

The fourth proportional to 2,407.97, 3,614.02 and 1,716.33 is: 2,575.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.97 : 3,614.02 = 1,716.33 : x
  2. Step 2: Convert to fraction form
    2,407.97/3,614.02 = 1,716.33/x
  3. Step 3: Cross multiply
    2,407.97x = 3,614.02 × 1,716.33
  4. Step 4: Simplify right side
    2,407.97x = 6,202,860.21
  5. Step 5: Solve for x
    x = 6,202,860.21/2,407.97
  6. Step 6: Final answer
    x = 2,575.97

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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.