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Finding the Fourth Proportional to 2,509.86, 3,764.10 and 1,397.91

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Solution

The fourth proportional to 2,509.86, 3,764.10 and 1,397.91 is: 2,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.86 : 3,764.10 = 1,397.91 : x
  2. Step 2: Convert to fraction form
    2,509.86/3,764.10 = 1,397.91/x
  3. Step 3: Cross multiply
    2,509.86x = 3,764.10 × 1,397.91
  4. Step 4: Simplify right side
    2,509.86x = 5,261,873.03
  5. Step 5: Solve for x
    x = 5,261,873.03/2,509.86
  6. Step 6: Final answer
    x = 2,096.48

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