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Finding the Fourth Proportional to 1,828.42, 2,742.78 and 596.02

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Solution

The fourth proportional to 1,828.42, 2,742.78 and 596.02 is: 894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.42 : 2,742.78 = 596.02 : x
  2. Step 2: Convert to fraction form
    1,828.42/2,742.78 = 596.02/x
  3. Step 3: Cross multiply
    1,828.42x = 2,742.78 × 596.02
  4. Step 4: Simplify right side
    1,828.42x = 1,634,751.74
  5. Step 5: Solve for x
    x = 1,634,751.74/1,828.42
  6. Step 6: Final answer
    x = 894.08

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