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Finding the Fourth Proportional to 1,965.29, 2,948.40 and 578.66

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Solution

The fourth proportional to 1,965.29, 2,948.40 and 578.66 is: 868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.29 : 2,948.40 = 578.66 : x
  2. Step 2: Convert to fraction form
    1,965.29/2,948.40 = 578.66/x
  3. Step 3: Cross multiply
    1,965.29x = 2,948.40 × 578.66
  4. Step 4: Simplify right side
    1,965.29x = 1,706,106.40
  5. Step 5: Solve for x
    x = 1,706,106.40/1,965.29
  6. Step 6: Final answer
    x = 868.12

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