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Finding the Fourth Proportional to 2,620.76, 3,931.41 and 889.52

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Solution

The fourth proportional to 2,620.76, 3,931.41 and 889.52 is: 1,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.76 : 3,931.41 = 889.52 : x
  2. Step 2: Convert to fraction form
    2,620.76/3,931.41 = 889.52/x
  3. Step 3: Cross multiply
    2,620.76x = 3,931.41 × 889.52
  4. Step 4: Simplify right side
    2,620.76x = 3,497,067.82
  5. Step 5: Solve for x
    x = 3,497,067.82/2,620.76
  6. Step 6: Final answer
    x = 1,334.37

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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.