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Finding the Fourth Proportional to 2,197.67, 3,295.67 and 637.16

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Solution

The fourth proportional to 2,197.67, 3,295.67 and 637.16 is: 955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.67 : 3,295.67 = 637.16 : x
  2. Step 2: Convert to fraction form
    2,197.67/3,295.67 = 637.16/x
  3. Step 3: Cross multiply
    2,197.67x = 3,295.67 × 637.16
  4. Step 4: Simplify right side
    2,197.67x = 2,099,849.43
  5. Step 5: Solve for x
    x = 2,099,849.43/2,197.67
  6. Step 6: Final answer
    x = 955.49

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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.