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Finding the Fourth Proportional to 2,787.86, 4,182.69 and 1,678.48

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Solution

The fourth proportional to 2,787.86, 4,182.69 and 1,678.48 is: 2,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.86 : 4,182.69 = 1,678.48 : x
  2. Step 2: Convert to fraction form
    2,787.86/4,182.69 = 1,678.48/x
  3. Step 3: Cross multiply
    2,787.86x = 4,182.69 × 1,678.48
  4. Step 4: Simplify right side
    2,787.86x = 7,020,561.51
  5. Step 5: Solve for x
    x = 7,020,561.51/2,787.86
  6. Step 6: Final answer
    x = 2,518.26

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