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Finding the Fourth Proportional to 2,129.84, 3,195.36 and 668.96

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Solution

The fourth proportional to 2,129.84, 3,195.36 and 668.96 is: 1,003.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.84 : 3,195.36 = 668.96 : x
  2. Step 2: Convert to fraction form
    2,129.84/3,195.36 = 668.96/x
  3. Step 3: Cross multiply
    2,129.84x = 3,195.36 × 668.96
  4. Step 4: Simplify right side
    2,129.84x = 2,137,568.03
  5. Step 5: Solve for x
    x = 2,137,568.03/2,129.84
  6. Step 6: Final answer
    x = 1,003.63

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1.5x scale

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.