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Finding the Fourth Proportional to 2,051.34, 3,076.29 and 896.46

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Solution

The fourth proportional to 2,051.34, 3,076.29 and 896.46 is: 1,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.34 : 3,076.29 = 896.46 : x
  2. Step 2: Convert to fraction form
    2,051.34/3,076.29 = 896.46/x
  3. Step 3: Cross multiply
    2,051.34x = 3,076.29 × 896.46
  4. Step 4: Simplify right side
    2,051.34x = 2,757,770.93
  5. Step 5: Solve for x
    x = 2,757,770.93/2,051.34
  6. Step 6: Final answer
    x = 1,344.38

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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.