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Finding the Fourth Proportional to 1,984.21, 2,976.32 and 503.43

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Solution

The fourth proportional to 1,984.21, 2,976.32 and 503.43 is: 755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.21 : 2,976.32 = 503.43 : x
  2. Step 2: Convert to fraction form
    1,984.21/2,976.32 = 503.43/x
  3. Step 3: Cross multiply
    1,984.21x = 2,976.32 × 503.43
  4. Step 4: Simplify right side
    1,984.21x = 1,498,366.26
  5. Step 5: Solve for x
    x = 1,498,366.26/1,984.21
  6. Step 6: Final answer
    x = 755.15

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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.