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Finding the Fourth Proportional to 1,921.46, 2,880.56 and 826.61

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Solution

The fourth proportional to 1,921.46, 2,880.56 and 826.61 is: 1,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.46 : 2,880.56 = 826.61 : x
  2. Step 2: Convert to fraction form
    1,921.46/2,880.56 = 826.61/x
  3. Step 3: Cross multiply
    1,921.46x = 2,880.56 × 826.61
  4. Step 4: Simplify right side
    1,921.46x = 2,381,087.37
  5. Step 5: Solve for x
    x = 2,381,087.37/1,921.46
  6. Step 6: Final answer
    x = 1,239.21

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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.