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Finding the Fourth Proportional to 1,686, 2,326.74 and 987.42

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Solution

The fourth proportional to 1,686, 2,326.74 and 987.42 is: 1,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686 : 2,326.74 = 987.42 : x
  2. Step 2: Convert to fraction form
    1,686/2,326.74 = 987.42/x
  3. Step 3: Cross multiply
    1,686x = 2,326.74 × 987.42
  4. Step 4: Simplify right side
    1,686x = 2,297,469.61
  5. Step 5: Solve for x
    x = 2,297,469.61/1,686
  6. Step 6: Final answer
    x = 1,362.67

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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.