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Finding the Fourth Proportional to 2,563.82, 3,848.11 and 1,315.31

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Solution

The fourth proportional to 2,563.82, 3,848.11 and 1,315.31 is: 1,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.82 : 3,848.11 = 1,315.31 : x
  2. Step 2: Convert to fraction form
    2,563.82/3,848.11 = 1,315.31/x
  3. Step 3: Cross multiply
    2,563.82x = 3,848.11 × 1,315.31
  4. Step 4: Simplify right side
    2,563.82x = 5,061,440.58
  5. Step 5: Solve for x
    x = 5,061,440.58/2,563.82
  6. Step 6: Final answer
    x = 1,974.18

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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.