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Finding the Fourth Proportional to 2,591.28, 3,887.51 and 947.82

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Solution

The fourth proportional to 2,591.28, 3,887.51 and 947.82 is: 1,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.28 : 3,887.51 = 947.82 : x
  2. Step 2: Convert to fraction form
    2,591.28/3,887.51 = 947.82/x
  3. Step 3: Cross multiply
    2,591.28x = 3,887.51 × 947.82
  4. Step 4: Simplify right side
    2,591.28x = 3,684,659.73
  5. Step 5: Solve for x
    x = 3,684,659.73/2,591.28
  6. Step 6: Final answer
    x = 1,421.95

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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.