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Finding the Fourth Proportional to 2,163.34, 2,986.16 and 1,874.62

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Solution

The fourth proportional to 2,163.34, 2,986.16 and 1,874.62 is: 2,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.34 : 2,986.16 = 1,874.62 : x
  2. Step 2: Convert to fraction form
    2,163.34/2,986.16 = 1,874.62/x
  3. Step 3: Cross multiply
    2,163.34x = 2,986.16 × 1,874.62
  4. Step 4: Simplify right side
    2,163.34x = 5,597,915.26
  5. Step 5: Solve for x
    x = 5,597,915.26/2,163.34
  6. Step 6: Final answer
    x = 2,587.63

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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.