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Finding the Fourth Proportional to 2,921.28, 4,380.66 and 840.81

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Solution

The fourth proportional to 2,921.28, 4,380.66 and 840.81 is: 1,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.28 : 4,380.66 = 840.81 : x
  2. Step 2: Convert to fraction form
    2,921.28/4,380.66 = 840.81/x
  3. Step 3: Cross multiply
    2,921.28x = 4,380.66 × 840.81
  4. Step 4: Simplify right side
    2,921.28x = 3,683,302.73
  5. Step 5: Solve for x
    x = 3,683,302.73/2,921.28
  6. Step 6: Final answer
    x = 1,260.85

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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.