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Finding the Fourth Proportional to 2,978.65, 4,467.63 and 787.55

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Solution

The fourth proportional to 2,978.65, 4,467.63 and 787.55 is: 1,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.65 : 4,467.63 = 787.55 : x
  2. Step 2: Convert to fraction form
    2,978.65/4,467.63 = 787.55/x
  3. Step 3: Cross multiply
    2,978.65x = 4,467.63 × 787.55
  4. Step 4: Simplify right side
    2,978.65x = 3,518,473.47
  5. Step 5: Solve for x
    x = 3,518,473.47/2,978.65
  6. Step 6: Final answer
    x = 1,181.23

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