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Finding the Fourth Proportional to 2,128.09, 3,192.43 and 667.35

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Solution

The fourth proportional to 2,128.09, 3,192.43 and 667.35 is: 1,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.09 : 3,192.43 = 667.35 : x
  2. Step 2: Convert to fraction form
    2,128.09/3,192.43 = 667.35/x
  3. Step 3: Cross multiply
    2,128.09x = 3,192.43 × 667.35
  4. Step 4: Simplify right side
    2,128.09x = 2,130,468.16
  5. Step 5: Solve for x
    x = 2,130,468.16/2,128.09
  6. Step 6: Final answer
    x = 1,001.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.