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Finding the Fourth Proportional to 2,660.82, 3,987.58 and 1,685.17

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Solution

The fourth proportional to 2,660.82, 3,987.58 and 1,685.17 is: 2,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.82 : 3,987.58 = 1,685.17 : x
  2. Step 2: Convert to fraction form
    2,660.82/3,987.58 = 1,685.17/x
  3. Step 3: Cross multiply
    2,660.82x = 3,987.58 × 1,685.17
  4. Step 4: Simplify right side
    2,660.82x = 6,719,750.19
  5. Step 5: Solve for x
    x = 6,719,750.19/2,660.82
  6. Step 6: Final answer
    x = 2,525.44

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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.