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Finding the Fourth Proportional to 2,576.56, 3,857.64 and 1,341.28

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Solution

The fourth proportional to 2,576.56, 3,857.64 and 1,341.28 is: 2,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.56 : 3,857.64 = 1,341.28 : x
  2. Step 2: Convert to fraction form
    2,576.56/3,857.64 = 1,341.28/x
  3. Step 3: Cross multiply
    2,576.56x = 3,857.64 × 1,341.28
  4. Step 4: Simplify right side
    2,576.56x = 5,174,175.38
  5. Step 5: Solve for x
    x = 5,174,175.38/2,576.56
  6. Step 6: Final answer
    x = 2,008.17

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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.