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Finding the Fourth Proportional to 2,787.84, 4,193.28 and 2,442.24

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Solution

The fourth proportional to 2,787.84, 4,193.28 and 2,442.24 is: 3,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.84 : 4,193.28 = 2,442.24 : x
  2. Step 2: Convert to fraction form
    2,787.84/4,193.28 = 2,442.24/x
  3. Step 3: Cross multiply
    2,787.84x = 4,193.28 × 2,442.24
  4. Step 4: Simplify right side
    2,787.84x = 10,240,996.15
  5. Step 5: Solve for x
    x = 10,240,996.15/2,787.84
  6. Step 6: Final answer
    x = 3,673.45

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