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Finding the Fourth Proportional to 2,128.82, 3,192.53 and 896.00

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Solution

The fourth proportional to 2,128.82, 3,192.53 and 896.00 is: 1,343.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.82 : 3,192.53 = 896.00 : x
  2. Step 2: Convert to fraction form
    2,128.82/3,192.53 = 896.00/x
  3. Step 3: Cross multiply
    2,128.82x = 3,192.53 × 896.00
  4. Step 4: Simplify right side
    2,128.82x = 2,860,486.44
  5. Step 5: Solve for x
    x = 2,860,486.44/2,128.82
  6. Step 6: Final answer
    x = 1,343.70

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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.