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Finding the Fourth Proportional to 2,128.12, 3,192.43 and 741.33

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Solution

The fourth proportional to 2,128.12, 3,192.43 and 741.33 is: 1,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.12 : 3,192.43 = 741.33 : x
  2. Step 2: Convert to fraction form
    2,128.12/3,192.43 = 741.33/x
  3. Step 3: Cross multiply
    2,128.12x = 3,192.43 × 741.33
  4. Step 4: Simplify right side
    2,128.12x = 2,366,644.13
  5. Step 5: Solve for x
    x = 2,366,644.13/2,128.12
  6. Step 6: Final answer
    x = 1,112.08

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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.