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Finding the Fourth Proportional to 1,940.77, 2,678.45 and 1,195.17

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Solution

The fourth proportional to 1,940.77, 2,678.45 and 1,195.17 is: 1,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.77 : 2,678.45 = 1,195.17 : x
  2. Step 2: Convert to fraction form
    1,940.77/2,678.45 = 1,195.17/x
  3. Step 3: Cross multiply
    1,940.77x = 2,678.45 × 1,195.17
  4. Step 4: Simplify right side
    1,940.77x = 3,201,193.79
  5. Step 5: Solve for x
    x = 3,201,193.79/1,940.77
  6. Step 6: Final answer
    x = 1,649.44

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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.