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Finding the Fourth Proportional to 1,791.24, 2,471.67 and 994.55

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Solution

The fourth proportional to 1,791.24, 2,471.67 and 994.55 is: 1,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.24 : 2,471.67 = 994.55 : x
  2. Step 2: Convert to fraction form
    1,791.24/2,471.67 = 994.55/x
  3. Step 3: Cross multiply
    1,791.24x = 2,471.67 × 994.55
  4. Step 4: Simplify right side
    1,791.24x = 2,458,199.40
  5. Step 5: Solve for x
    x = 2,458,199.40/1,791.24
  6. Step 6: Final answer
    x = 1,372.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.