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Finding the Fourth Proportional to 1,984.07, 2,976.41 and 523.34

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Solution

The fourth proportional to 1,984.07, 2,976.41 and 523.34 is: 785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.07 : 2,976.41 = 523.34 : x
  2. Step 2: Convert to fraction form
    1,984.07/2,976.41 = 523.34/x
  3. Step 3: Cross multiply
    1,984.07x = 2,976.41 × 523.34
  4. Step 4: Simplify right side
    1,984.07x = 1,557,656.91
  5. Step 5: Solve for x
    x = 1,557,656.91/1,984.07
  6. Step 6: Final answer
    x = 785.08

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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.