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Finding the Fourth Proportional to 1,984.68, 2,977.37 and 668.56

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Solution

The fourth proportional to 1,984.68, 2,977.37 and 668.56 is: 1,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.68 : 2,977.37 = 668.56 : x
  2. Step 2: Convert to fraction form
    1,984.68/2,977.37 = 668.56/x
  3. Step 3: Cross multiply
    1,984.68x = 2,977.37 × 668.56
  4. Step 4: Simplify right side
    1,984.68x = 1,990,550.49
  5. Step 5: Solve for x
    x = 1,990,550.49/1,984.68
  6. Step 6: Final answer
    x = 1,002.96

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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.