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Finding the Fourth Proportional to 1,664.94, 2,496.78 and 971.86

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Solution

The fourth proportional to 1,664.94, 2,496.78 and 971.86 is: 1,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.94 : 2,496.78 = 971.86 : x
  2. Step 2: Convert to fraction form
    1,664.94/2,496.78 = 971.86/x
  3. Step 3: Cross multiply
    1,664.94x = 2,496.78 × 971.86
  4. Step 4: Simplify right side
    1,664.94x = 2,426,520.61
  5. Step 5: Solve for x
    x = 2,426,520.61/1,664.94
  6. Step 6: Final answer
    x = 1,457.42

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