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Finding the Fourth Proportional to 2,115.81, 3,173.50 and 654.98

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Solution

The fourth proportional to 2,115.81, 3,173.50 and 654.98 is: 982.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.81 : 3,173.50 = 654.98 : x
  2. Step 2: Convert to fraction form
    2,115.81/3,173.50 = 654.98/x
  3. Step 3: Cross multiply
    2,115.81x = 3,173.50 × 654.98
  4. Step 4: Simplify right side
    2,115.81x = 2,078,560.30
  5. Step 5: Solve for x
    x = 2,078,560.30/2,115.81
  6. Step 6: Final answer
    x = 982.39

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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.