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Finding the Fourth Proportional to 2,680.56, 3,698.66 and 1,685.27

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Solution

The fourth proportional to 2,680.56, 3,698.66 and 1,685.27 is: 2,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.56 : 3,698.66 = 1,685.27 : x
  2. Step 2: Convert to fraction form
    2,680.56/3,698.66 = 1,685.27/x
  3. Step 3: Cross multiply
    2,680.56x = 3,698.66 × 1,685.27
  4. Step 4: Simplify right side
    2,680.56x = 6,233,254.20
  5. Step 5: Solve for x
    x = 6,233,254.20/2,680.56
  6. Step 6: Final answer
    x = 2,325.36

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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.