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Finding the Fourth Proportional to 1,940.36, 2,677.92 and 1,154.48

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Solution

The fourth proportional to 1,940.36, 2,677.92 and 1,154.48 is: 1,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.36 : 2,677.92 = 1,154.48 : x
  2. Step 2: Convert to fraction form
    1,940.36/2,677.92 = 1,154.48/x
  3. Step 3: Cross multiply
    1,940.36x = 2,677.92 × 1,154.48
  4. Step 4: Simplify right side
    1,940.36x = 3,091,605.08
  5. Step 5: Solve for x
    x = 3,091,605.08/1,940.36
  6. Step 6: Final answer
    x = 1,593.32

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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.