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Finding the Fourth Proportional to 2,137.36, 3,206.20 and 676.62

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Solution

The fourth proportional to 2,137.36, 3,206.20 and 676.62 is: 1,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.36 : 3,206.20 = 676.62 : x
  2. Step 2: Convert to fraction form
    2,137.36/3,206.20 = 676.62/x
  3. Step 3: Cross multiply
    2,137.36x = 3,206.20 × 676.62
  4. Step 4: Simplify right side
    2,137.36x = 2,169,379.04
  5. Step 5: Solve for x
    x = 2,169,379.04/2,137.36
  6. Step 6: Final answer
    x = 1,014.98

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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.