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Finding the Fourth Proportional to 1,941.38, 2,680.19 and 1,486.27

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Solution

The fourth proportional to 1,941.38, 2,680.19 and 1,486.27 is: 2,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.38 : 2,680.19 = 1,486.27 : x
  2. Step 2: Convert to fraction form
    1,941.38/2,680.19 = 1,486.27/x
  3. Step 3: Cross multiply
    1,941.38x = 2,680.19 × 1,486.27
  4. Step 4: Simplify right side
    1,941.38x = 3,983,471.86
  5. Step 5: Solve for x
    x = 3,983,471.86/1,941.38
  6. Step 6: Final answer
    x = 2,051.88

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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.