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Finding the Fourth Proportional to 2,525.36, 3,789.61 and 965.49

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Solution

The fourth proportional to 2,525.36, 3,789.61 and 965.49 is: 1,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.36 : 3,789.61 = 965.49 : x
  2. Step 2: Convert to fraction form
    2,525.36/3,789.61 = 965.49/x
  3. Step 3: Cross multiply
    2,525.36x = 3,789.61 × 965.49
  4. Step 4: Simplify right side
    2,525.36x = 3,658,830.56
  5. Step 5: Solve for x
    x = 3,658,830.56/2,525.36
  6. Step 6: Final answer
    x = 1,448.84

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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.