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Finding the Fourth Proportional to 2,978.24, 4,460.88 and 1,436

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Solution

The fourth proportional to 2,978.24, 4,460.88 and 1,436 is: 2,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.24 : 4,460.88 = 1,436 : x
  2. Step 2: Convert to fraction form
    2,978.24/4,460.88 = 1,436/x
  3. Step 3: Cross multiply
    2,978.24x = 4,460.88 × 1,436
  4. Step 4: Simplify right side
    2,978.24x = 6,405,823.68
  5. Step 5: Solve for x
    x = 6,405,823.68/2,978.24
  6. Step 6: Final answer
    x = 2,150.88

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