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Finding the Fourth Proportional to 1,665.91, 2,498.35 and 787.91

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Solution

The fourth proportional to 1,665.91, 2,498.35 and 787.91 is: 1,181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.91 : 2,498.35 = 787.91 : x
  2. Step 2: Convert to fraction form
    1,665.91/2,498.35 = 787.91/x
  3. Step 3: Cross multiply
    1,665.91x = 2,498.35 × 787.91
  4. Step 4: Simplify right side
    1,665.91x = 1,968,474.95
  5. Step 5: Solve for x
    x = 1,968,474.95/1,665.91
  6. Step 6: Final answer
    x = 1,181.62

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