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Finding the Fourth Proportional to 2,197.53, 3,295.89 and 658.53

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Solution

The fourth proportional to 2,197.53, 3,295.89 and 658.53 is: 987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.53 : 3,295.89 = 658.53 : x
  2. Step 2: Convert to fraction form
    2,197.53/3,295.89 = 658.53/x
  3. Step 3: Cross multiply
    2,197.53x = 3,295.89 × 658.53
  4. Step 4: Simplify right side
    2,197.53x = 2,170,442.44
  5. Step 5: Solve for x
    x = 2,170,442.44/2,197.53
  6. Step 6: Final answer
    x = 987.67

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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.