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Finding the Fourth Proportional to 1,975.82, 2,963.74 and 821.56

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Solution

The fourth proportional to 1,975.82, 2,963.74 and 821.56 is: 1,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.82 : 2,963.74 = 821.56 : x
  2. Step 2: Convert to fraction form
    1,975.82/2,963.74 = 821.56/x
  3. Step 3: Cross multiply
    1,975.82x = 2,963.74 × 821.56
  4. Step 4: Simplify right side
    1,975.82x = 2,434,890.23
  5. Step 5: Solve for x
    x = 2,434,890.23/1,975.82
  6. Step 6: Final answer
    x = 1,232.34

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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.