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Finding the Fourth Proportional to 2,551.98, 3,827.82 and 1,253

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Solution

The fourth proportional to 2,551.98, 3,827.82 and 1,253 is: 1,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.98 : 3,827.82 = 1,253 : x
  2. Step 2: Convert to fraction form
    2,551.98/3,827.82 = 1,253/x
  3. Step 3: Cross multiply
    2,551.98x = 3,827.82 × 1,253
  4. Step 4: Simplify right side
    2,551.98x = 4,796,258.46
  5. Step 5: Solve for x
    x = 4,796,258.46/2,551.98
  6. Step 6: Final answer
    x = 1,879.43

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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.