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Finding the Fourth Proportional to 3,301.64, 4,556.28 and 1,975

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Solution

The fourth proportional to 3,301.64, 4,556.28 and 1,975 is: 2,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.64 : 4,556.28 = 1,975 : x
  2. Step 2: Convert to fraction form
    3,301.64/4,556.28 = 1,975/x
  3. Step 3: Cross multiply
    3,301.64x = 4,556.28 × 1,975
  4. Step 4: Simplify right side
    3,301.64x = 8,998,653
  5. Step 5: Solve for x
    x = 8,998,653/3,301.64
  6. Step 6: Final answer
    x = 2,725.51

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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.