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Finding the Fourth Proportional to 2,449.74, 3,674.60 and 889.94

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Solution

The fourth proportional to 2,449.74, 3,674.60 and 889.94 is: 1,334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.74 : 3,674.60 = 889.94 : x
  2. Step 2: Convert to fraction form
    2,449.74/3,674.60 = 889.94/x
  3. Step 3: Cross multiply
    2,449.74x = 3,674.60 × 889.94
  4. Step 4: Simplify right side
    2,449.74x = 3,270,173.52
  5. Step 5: Solve for x
    x = 3,270,173.52/2,449.74
  6. Step 6: Final answer
    x = 1,334.91

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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.