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Finding the Fourth Proportional to 2,137.82, 3,206.21 and 676.98

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Solution

The fourth proportional to 2,137.82, 3,206.21 and 676.98 is: 1,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.82 : 3,206.21 = 676.98 : x
  2. Step 2: Convert to fraction form
    2,137.82/3,206.21 = 676.98/x
  3. Step 3: Cross multiply
    2,137.82x = 3,206.21 × 676.98
  4. Step 4: Simplify right side
    2,137.82x = 2,170,547.58
  5. Step 5: Solve for x
    x = 2,170,547.58/2,137.82
  6. Step 6: Final answer
    x = 1,015.31

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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.