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Finding the Fourth Proportional to 2,137.98, 3,206.57 and 676.74

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Solution

The fourth proportional to 2,137.98, 3,206.57 and 676.74 is: 1,014.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.98 : 3,206.57 = 676.74 : x
  2. Step 2: Convert to fraction form
    2,137.98/3,206.57 = 676.74/x
  3. Step 3: Cross multiply
    2,137.98x = 3,206.57 × 676.74
  4. Step 4: Simplify right side
    2,137.98x = 2,170,010.80
  5. Step 5: Solve for x
    x = 2,170,010.80/2,137.98
  6. Step 6: Final answer
    x = 1,014.98

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1.5x scale

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.