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Finding the Fourth Proportional to 1,847.36, 2,771.33 and 614.49

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Solution

The fourth proportional to 1,847.36, 2,771.33 and 614.49 is: 921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.36 : 2,771.33 = 614.49 : x
  2. Step 2: Convert to fraction form
    1,847.36/2,771.33 = 614.49/x
  3. Step 3: Cross multiply
    1,847.36x = 2,771.33 × 614.49
  4. Step 4: Simplify right side
    1,847.36x = 1,702,951.50
  5. Step 5: Solve for x
    x = 1,702,951.50/1,847.36
  6. Step 6: Final answer
    x = 921.83

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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.