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Finding the Fourth Proportional to 2,906.82, 4,359.61 and 958.56

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Solution

The fourth proportional to 2,906.82, 4,359.61 and 958.56 is: 1,437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.82 : 4,359.61 = 958.56 : x
  2. Step 2: Convert to fraction form
    2,906.82/4,359.61 = 958.56/x
  3. Step 3: Cross multiply
    2,906.82x = 4,359.61 × 958.56
  4. Step 4: Simplify right side
    2,906.82x = 4,178,947.76
  5. Step 5: Solve for x
    x = 4,178,947.76/2,906.82
  6. Step 6: Final answer
    x = 1,437.64

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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.