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Finding the Fourth Proportional to 2,508.42, 3,762.63 and 1,987.86

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Solution

The fourth proportional to 2,508.42, 3,762.63 and 1,987.86 is: 2,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.42 : 3,762.63 = 1,987.86 : x
  2. Step 2: Convert to fraction form
    2,508.42/3,762.63 = 1,987.86/x
  3. Step 3: Cross multiply
    2,508.42x = 3,762.63 × 1,987.86
  4. Step 4: Simplify right side
    2,508.42x = 7,479,581.67
  5. Step 5: Solve for x
    x = 7,479,581.67/2,508.42
  6. Step 6: Final answer
    x = 2,981.79

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