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Finding the Fourth Proportional to 2,128.48, 3,192.72 and 668.92

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Solution

The fourth proportional to 2,128.48, 3,192.72 and 668.92 is: 1,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.48 : 3,192.72 = 668.92 : x
  2. Step 2: Convert to fraction form
    2,128.48/3,192.72 = 668.92/x
  3. Step 3: Cross multiply
    2,128.48x = 3,192.72 × 668.92
  4. Step 4: Simplify right side
    2,128.48x = 2,135,674.26
  5. Step 5: Solve for x
    x = 2,135,674.26/2,128.48
  6. Step 6: Final answer
    x = 1,003.38

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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.