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Finding the Fourth Proportional to 2,574.10, 3,857.03 and 2,505.76

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Solution

The fourth proportional to 2,574.10, 3,857.03 and 2,505.76 is: 3,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.10 : 3,857.03 = 2,505.76 : x
  2. Step 2: Convert to fraction form
    2,574.10/3,857.03 = 2,505.76/x
  3. Step 3: Cross multiply
    2,574.10x = 3,857.03 × 2,505.76
  4. Step 4: Simplify right side
    2,574.10x = 9,664,791.49
  5. Step 5: Solve for x
    x = 9,664,791.49/2,574.10
  6. Step 6: Final answer
    x = 3,754.63

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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.