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Finding the Fourth Proportional to 1,984.64, 2,976.69 and 523.67

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Solution

The fourth proportional to 1,984.64, 2,976.69 and 523.67 is: 785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.64 : 2,976.69 = 523.67 : x
  2. Step 2: Convert to fraction form
    1,984.64/2,976.69 = 523.67/x
  3. Step 3: Cross multiply
    1,984.64x = 2,976.69 × 523.67
  4. Step 4: Simplify right side
    1,984.64x = 1,558,803.25
  5. Step 5: Solve for x
    x = 1,558,803.25/1,984.64
  6. Step 6: Final answer
    x = 785.43

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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.