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Finding the Fourth Proportional to 2,375.01, 3,274.07 and 1,664.64

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Solution

The fourth proportional to 2,375.01, 3,274.07 and 1,664.64 is: 2,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.01 : 3,274.07 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    2,375.01/3,274.07 = 1,664.64/x
  3. Step 3: Cross multiply
    2,375.01x = 3,274.07 × 1,664.64
  4. Step 4: Simplify right side
    2,375.01x = 5,450,139.56
  5. Step 5: Solve for x
    x = 5,450,139.56/2,375.01
  6. Step 6: Final answer
    x = 2,294.79

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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.