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Finding the Fourth Proportional to 2,553.06, 3,827.79 and 991.76

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Solution

The fourth proportional to 2,553.06, 3,827.79 and 991.76 is: 1,486.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.06 : 3,827.79 = 991.76 : x
  2. Step 2: Convert to fraction form
    2,553.06/3,827.79 = 991.76/x
  3. Step 3: Cross multiply
    2,553.06x = 3,827.79 × 991.76
  4. Step 4: Simplify right side
    2,553.06x = 3,796,258.58
  5. Step 5: Solve for x
    x = 3,796,258.58/2,553.06
  6. Step 6: Final answer
    x = 1,486.94

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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.