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Finding the Fourth Proportional to 2,416.89, 3,625.37 and 685.52

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Solution

The fourth proportional to 2,416.89, 3,625.37 and 685.52 is: 1,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.89 : 3,625.37 = 685.52 : x
  2. Step 2: Convert to fraction form
    2,416.89/3,625.37 = 685.52/x
  3. Step 3: Cross multiply
    2,416.89x = 3,625.37 × 685.52
  4. Step 4: Simplify right side
    2,416.89x = 2,485,242.09
  5. Step 5: Solve for x
    x = 2,485,242.09/2,416.89
  6. Step 6: Final answer
    x = 1,028.28

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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.