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Finding the Fourth Proportional to 4,652.16, 6,978.64 and 1,320.42

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Solution

The fourth proportional to 4,652.16, 6,978.64 and 1,320.42 is: 1,980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.16 : 6,978.64 = 1,320.42 : x
  2. Step 2: Convert to fraction form
    4,652.16/6,978.64 = 1,320.42/x
  3. Step 3: Cross multiply
    4,652.16x = 6,978.64 × 1,320.42
  4. Step 4: Simplify right side
    4,652.16x = 9,214,735.83
  5. Step 5: Solve for x
    x = 9,214,735.83/4,652.16
  6. Step 6: Final answer
    x = 1,980.74

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