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Finding the Fourth Proportional to 1,984.05, 2,976.12 and 523.35

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Solution

The fourth proportional to 1,984.05, 2,976.12 and 523.35 is: 785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.05 : 2,976.12 = 523.35 : x
  2. Step 2: Convert to fraction form
    1,984.05/2,976.12 = 523.35/x
  3. Step 3: Cross multiply
    1,984.05x = 2,976.12 × 523.35
  4. Step 4: Simplify right side
    1,984.05x = 1,557,552.40
  5. Step 5: Solve for x
    x = 1,557,552.40/1,984.05
  6. Step 6: Final answer
    x = 785.04

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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.