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Finding the Fourth Proportional to 1,940.77, 2,678 and 1,101.45

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Solution

The fourth proportional to 1,940.77, 2,678 and 1,101.45 is: 1,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.77 : 2,678 = 1,101.45 : x
  2. Step 2: Convert to fraction form
    1,940.77/2,678 = 1,101.45/x
  3. Step 3: Cross multiply
    1,940.77x = 2,678 × 1,101.45
  4. Step 4: Simplify right side
    1,940.77x = 2,949,683.10
  5. Step 5: Solve for x
    x = 2,949,683.10/1,940.77
  6. Step 6: Final answer
    x = 1,519.85

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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.