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Finding the Fourth Proportional to 2,825.76, 4,233.26 and 1,948.74

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Solution

The fourth proportional to 2,825.76, 4,233.26 and 1,948.74 is: 2,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.76 : 4,233.26 = 1,948.74 : x
  2. Step 2: Convert to fraction form
    2,825.76/4,233.26 = 1,948.74/x
  3. Step 3: Cross multiply
    2,825.76x = 4,233.26 × 1,948.74
  4. Step 4: Simplify right side
    2,825.76x = 8,249,523.09
  5. Step 5: Solve for x
    x = 8,249,523.09/2,825.76
  6. Step 6: Final answer
    x = 2,919.40

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