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Finding the Fourth Proportional to 1,978.18, 2,960.83 and 1,457.98

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Solution

The fourth proportional to 1,978.18, 2,960.83 and 1,457.98 is: 2,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.18 : 2,960.83 = 1,457.98 : x
  2. Step 2: Convert to fraction form
    1,978.18/2,960.83 = 1,457.98/x
  3. Step 3: Cross multiply
    1,978.18x = 2,960.83 × 1,457.98
  4. Step 4: Simplify right side
    1,978.18x = 4,316,830.92
  5. Step 5: Solve for x
    x = 4,316,830.92/1,978.18
  6. Step 6: Final answer
    x = 2,182.22

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