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Finding the Fourth Proportional to 2,978.72, 4,468.26 and 870.41

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Solution

The fourth proportional to 2,978.72, 4,468.26 and 870.41 is: 1,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.72 : 4,468.26 = 870.41 : x
  2. Step 2: Convert to fraction form
    2,978.72/4,468.26 = 870.41/x
  3. Step 3: Cross multiply
    2,978.72x = 4,468.26 × 870.41
  4. Step 4: Simplify right side
    2,978.72x = 3,889,218.19
  5. Step 5: Solve for x
    x = 3,889,218.19/2,978.72
  6. Step 6: Final answer
    x = 1,305.67

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