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Finding the Fourth Proportional to 2,617.50, 3,612.39 and 1,685.82

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Solution

The fourth proportional to 2,617.50, 3,612.39 and 1,685.82 is: 2,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.50 : 3,612.39 = 1,685.82 : x
  2. Step 2: Convert to fraction form
    2,617.50/3,612.39 = 1,685.82/x
  3. Step 3: Cross multiply
    2,617.50x = 3,612.39 × 1,685.82
  4. Step 4: Simplify right side
    2,617.50x = 6,089,839.31
  5. Step 5: Solve for x
    x = 6,089,839.31/2,617.50
  6. Step 6: Final answer
    x = 2,326.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.