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Finding the Fourth Proportional to 1,948.71, 2,920.33 and 1,461.23

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Solution

The fourth proportional to 1,948.71, 2,920.33 and 1,461.23 is: 2,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.71 : 2,920.33 = 1,461.23 : x
  2. Step 2: Convert to fraction form
    1,948.71/2,920.33 = 1,461.23/x
  3. Step 3: Cross multiply
    1,948.71x = 2,920.33 × 1,461.23
  4. Step 4: Simplify right side
    1,948.71x = 4,267,273.81
  5. Step 5: Solve for x
    x = 4,267,273.81/1,948.71
  6. Step 6: Final answer
    x = 2,189.79

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