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Finding the Fourth Proportional to 2,551.06, 3,826.63 and 991.15

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Solution

The fourth proportional to 2,551.06, 3,826.63 and 991.15 is: 1,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.06 : 3,826.63 = 991.15 : x
  2. Step 2: Convert to fraction form
    2,551.06/3,826.63 = 991.15/x
  3. Step 3: Cross multiply
    2,551.06x = 3,826.63 × 991.15
  4. Step 4: Simplify right side
    2,551.06x = 3,792,764.32
  5. Step 5: Solve for x
    x = 3,792,764.32/2,551.06
  6. Step 6: Final answer
    x = 1,486.74

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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.