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Finding the Fourth Proportional to 2,906.73, 4,360.71 and 958.89

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Solution

The fourth proportional to 2,906.73, 4,360.71 and 958.89 is: 1,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.73 : 4,360.71 = 958.89 : x
  2. Step 2: Convert to fraction form
    2,906.73/4,360.71 = 958.89/x
  3. Step 3: Cross multiply
    2,906.73x = 4,360.71 × 958.89
  4. Step 4: Simplify right side
    2,906.73x = 4,181,441.21
  5. Step 5: Solve for x
    x = 4,181,441.21/2,906.73
  6. Step 6: Final answer
    x = 1,438.54

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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.