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Finding the Fourth Proportional to 2,525.73, 3,789.34 and 882.41

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Solution

The fourth proportional to 2,525.73, 3,789.34 and 882.41 is: 1,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.73 : 3,789.34 = 882.41 : x
  2. Step 2: Convert to fraction form
    2,525.73/3,789.34 = 882.41/x
  3. Step 3: Cross multiply
    2,525.73x = 3,789.34 × 882.41
  4. Step 4: Simplify right side
    2,525.73x = 3,343,751.51
  5. Step 5: Solve for x
    x = 3,343,751.51/2,525.73
  6. Step 6: Final answer
    x = 1,323.88

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