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Finding the Fourth Proportional to 2,551.41, 3,826.31 and 991.31

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Solution

The fourth proportional to 2,551.41, 3,826.31 and 991.31 is: 1,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.41 : 3,826.31 = 991.31 : x
  2. Step 2: Convert to fraction form
    2,551.41/3,826.31 = 991.31/x
  3. Step 3: Cross multiply
    2,551.41x = 3,826.31 × 991.31
  4. Step 4: Simplify right side
    2,551.41x = 3,793,035.28
  5. Step 5: Solve for x
    x = 3,793,035.28/2,551.41
  6. Step 6: Final answer
    x = 1,486.64

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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.