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Finding the Fourth Proportional to 1,823.74, 2,734.53 and 1,432.78

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Solution

The fourth proportional to 1,823.74, 2,734.53 and 1,432.78 is: 2,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.74 : 2,734.53 = 1,432.78 : x
  2. Step 2: Convert to fraction form
    1,823.74/2,734.53 = 1,432.78/x
  3. Step 3: Cross multiply
    1,823.74x = 2,734.53 × 1,432.78
  4. Step 4: Simplify right side
    1,823.74x = 3,917,967.68
  5. Step 5: Solve for x
    x = 3,917,967.68/1,823.74
  6. Step 6: Final answer
    x = 2,148.32

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