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Finding the Fourth Proportional to 2,507.41, 3,761.25 and 1,583.74

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Solution

The fourth proportional to 2,507.41, 3,761.25 and 1,583.74 is: 2,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.41 : 3,761.25 = 1,583.74 : x
  2. Step 2: Convert to fraction form
    2,507.41/3,761.25 = 1,583.74/x
  3. Step 3: Cross multiply
    2,507.41x = 3,761.25 × 1,583.74
  4. Step 4: Simplify right side
    2,507.41x = 5,956,842.08
  5. Step 5: Solve for x
    x = 5,956,842.08/2,507.41
  6. Step 6: Final answer
    x = 2,375.70

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