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Finding the Fourth Proportional to 1,941.66, 2,679.71 and 1,195.47

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Solution

The fourth proportional to 1,941.66, 2,679.71 and 1,195.47 is: 1,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.66 : 2,679.71 = 1,195.47 : x
  2. Step 2: Convert to fraction form
    1,941.66/2,679.71 = 1,195.47/x
  3. Step 3: Cross multiply
    1,941.66x = 2,679.71 × 1,195.47
  4. Step 4: Simplify right side
    1,941.66x = 3,203,506.94
  5. Step 5: Solve for x
    x = 3,203,506.94/1,941.66
  6. Step 6: Final answer
    x = 1,649.88

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