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Finding the Fourth Proportional to 2,576.25, 3,859.11 and 1,341.42

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Solution

The fourth proportional to 2,576.25, 3,859.11 and 1,341.42 is: 2,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.25 : 3,859.11 = 1,341.42 : x
  2. Step 2: Convert to fraction form
    2,576.25/3,859.11 = 1,341.42/x
  3. Step 3: Cross multiply
    2,576.25x = 3,859.11 × 1,341.42
  4. Step 4: Simplify right side
    2,576.25x = 5,176,687.34
  5. Step 5: Solve for x
    x = 5,176,687.34/2,576.25
  6. Step 6: Final answer
    x = 2,009.39

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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.