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Finding the Fourth Proportional to 2,419.01, 3,339.25 and 1,634.12

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Solution

The fourth proportional to 2,419.01, 3,339.25 and 1,634.12 is: 2,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.01 : 3,339.25 = 1,634.12 : x
  2. Step 2: Convert to fraction form
    2,419.01/3,339.25 = 1,634.12/x
  3. Step 3: Cross multiply
    2,419.01x = 3,339.25 × 1,634.12
  4. Step 4: Simplify right side
    2,419.01x = 5,456,735.21
  5. Step 5: Solve for x
    x = 5,456,735.21/2,419.01
  6. Step 6: Final answer
    x = 2,255.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.