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Finding the Fourth Proportional to 2,531.78, 3,798.42 and 1,146.32

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Solution

The fourth proportional to 2,531.78, 3,798.42 and 1,146.32 is: 1,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.78 : 3,798.42 = 1,146.32 : x
  2. Step 2: Convert to fraction form
    2,531.78/3,798.42 = 1,146.32/x
  3. Step 3: Cross multiply
    2,531.78x = 3,798.42 × 1,146.32
  4. Step 4: Simplify right side
    2,531.78x = 4,354,204.81
  5. Step 5: Solve for x
    x = 4,354,204.81/2,531.78
  6. Step 6: Final answer
    x = 1,719.82

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