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Finding the Fourth Proportional to 1,793.20, 2,674 and 1,651.36

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Solution

The fourth proportional to 1,793.20, 2,674 and 1,651.36 is: 2,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.20 : 2,674 = 1,651.36 : x
  2. Step 2: Convert to fraction form
    1,793.20/2,674 = 1,651.36/x
  3. Step 3: Cross multiply
    1,793.20x = 2,674 × 1,651.36
  4. Step 4: Simplify right side
    1,793.20x = 4,415,736.64
  5. Step 5: Solve for x
    x = 4,415,736.64/1,793.20
  6. Step 6: Final answer
    x = 2,462.49

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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.