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Finding the Fourth Proportional to 2,416.44, 3,625.27 and 685.07

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Solution

The fourth proportional to 2,416.44, 3,625.27 and 685.07 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.44 : 3,625.27 = 685.07 : x
  2. Step 2: Convert to fraction form
    2,416.44/3,625.27 = 685.07/x
  3. Step 3: Cross multiply
    2,416.44x = 3,625.27 × 685.07
  4. Step 4: Simplify right side
    2,416.44x = 2,483,542.17
  5. Step 5: Solve for x
    x = 2,483,542.17/2,416.44
  6. Step 6: Final answer
    x = 1,027.77

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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.