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Finding the Fourth Proportional to 2,449.05, 3,673.57 and 889.01

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Solution

The fourth proportional to 2,449.05, 3,673.57 and 889.01 is: 1,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.05 : 3,673.57 = 889.01 : x
  2. Step 2: Convert to fraction form
    2,449.05/3,673.57 = 889.01/x
  3. Step 3: Cross multiply
    2,449.05x = 3,673.57 × 889.01
  4. Step 4: Simplify right side
    2,449.05x = 3,265,840.47
  5. Step 5: Solve for x
    x = 3,265,840.47/2,449.05
  6. Step 6: Final answer
    x = 1,333.51

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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.