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Finding the Fourth Proportional to 1,736.56, 2,593.04 and 1,367.20

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Solution

The fourth proportional to 1,736.56, 2,593.04 and 1,367.20 is: 2,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.56 : 2,593.04 = 1,367.20 : x
  2. Step 2: Convert to fraction form
    1,736.56/2,593.04 = 1,367.20/x
  3. Step 3: Cross multiply
    1,736.56x = 2,593.04 × 1,367.20
  4. Step 4: Simplify right side
    1,736.56x = 3,545,204.29
  5. Step 5: Solve for x
    x = 3,545,204.29/1,736.56
  6. Step 6: Final answer
    x = 2,041.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.