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Finding the Fourth Proportional to 2,128.51, 3,192.77 and 668.08

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Solution

The fourth proportional to 2,128.51, 3,192.77 and 668.08 is: 1,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.51 : 3,192.77 = 668.08 : x
  2. Step 2: Convert to fraction form
    2,128.51/3,192.77 = 668.08/x
  3. Step 3: Cross multiply
    2,128.51x = 3,192.77 × 668.08
  4. Step 4: Simplify right side
    2,128.51x = 2,133,025.78
  5. Step 5: Solve for x
    x = 2,133,025.78/2,128.51
  6. Step 6: Final answer
    x = 1,002.12

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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.