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Finding the Fourth Proportional to 1,641.78, 2,466.75 and 1,457.46

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Solution

The fourth proportional to 1,641.78, 2,466.75 and 1,457.46 is: 2,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.78 : 2,466.75 = 1,457.46 : x
  2. Step 2: Convert to fraction form
    1,641.78/2,466.75 = 1,457.46/x
  3. Step 3: Cross multiply
    1,641.78x = 2,466.75 × 1,457.46
  4. Step 4: Simplify right side
    1,641.78x = 3,595,189.46
  5. Step 5: Solve for x
    x = 3,595,189.46/1,641.78
  6. Step 6: Final answer
    x = 2,189.81

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