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Finding the Fourth Proportional to 1,971.97, 2,960.01 and 1,452.56

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Solution

The fourth proportional to 1,971.97, 2,960.01 and 1,452.56 is: 2,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.97 : 2,960.01 = 1,452.56 : x
  2. Step 2: Convert to fraction form
    1,971.97/2,960.01 = 1,452.56/x
  3. Step 3: Cross multiply
    1,971.97x = 2,960.01 × 1,452.56
  4. Step 4: Simplify right side
    1,971.97x = 4,299,588.43
  5. Step 5: Solve for x
    x = 4,299,588.43/1,971.97
  6. Step 6: Final answer
    x = 2,180.35

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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.