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Finding the Fourth Proportional to 2,136.93, 3,205.60 and 676.10

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Solution

The fourth proportional to 2,136.93, 3,205.60 and 676.10 is: 1,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.93 : 3,205.60 = 676.10 : x
  2. Step 2: Convert to fraction form
    2,136.93/3,205.60 = 676.10/x
  3. Step 3: Cross multiply
    2,136.93x = 3,205.60 × 676.10
  4. Step 4: Simplify right side
    2,136.93x = 2,167,306.16
  5. Step 5: Solve for x
    x = 2,167,306.16/2,136.93
  6. Step 6: Final answer
    x = 1,014.21

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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.