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Finding the Fourth Proportional to 2,115.96, 3,173.84 and 654.92

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Solution

The fourth proportional to 2,115.96, 3,173.84 and 654.92 is: 982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.96 : 3,173.84 = 654.92 : x
  2. Step 2: Convert to fraction form
    2,115.96/3,173.84 = 654.92/x
  3. Step 3: Cross multiply
    2,115.96x = 3,173.84 × 654.92
  4. Step 4: Simplify right side
    2,115.96x = 2,078,611.29
  5. Step 5: Solve for x
    x = 2,078,611.29/2,115.96
  6. Step 6: Final answer
    x = 982.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.