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Finding the Fourth Proportional to 2,357.75, 3,536.25 and 797.73

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Solution

The fourth proportional to 2,357.75, 3,536.25 and 797.73 is: 1,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.75 : 3,536.25 = 797.73 : x
  2. Step 2: Convert to fraction form
    2,357.75/3,536.25 = 797.73/x
  3. Step 3: Cross multiply
    2,357.75x = 3,536.25 × 797.73
  4. Step 4: Simplify right side
    2,357.75x = 2,820,956.46
  5. Step 5: Solve for x
    x = 2,820,956.46/2,357.75
  6. Step 6: Final answer
    x = 1,196.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.