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Finding the Fourth Proportional to 2,119.57, 3,179.73 and 658.36

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Solution

The fourth proportional to 2,119.57, 3,179.73 and 658.36 is: 987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.57 : 3,179.73 = 658.36 : x
  2. Step 2: Convert to fraction form
    2,119.57/3,179.73 = 658.36/x
  3. Step 3: Cross multiply
    2,119.57x = 3,179.73 × 658.36
  4. Step 4: Simplify right side
    2,119.57x = 2,093,407.04
  5. Step 5: Solve for x
    x = 2,093,407.04/2,119.57
  6. Step 6: Final answer
    x = 987.66

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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.