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Finding the Fourth Proportional to 1,948.16, 2,922.24 and 1,375.76

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Solution

The fourth proportional to 1,948.16, 2,922.24 and 1,375.76 is: 2,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.16 : 2,922.24 = 1,375.76 : x
  2. Step 2: Convert to fraction form
    1,948.16/2,922.24 = 1,375.76/x
  3. Step 3: Cross multiply
    1,948.16x = 2,922.24 × 1,375.76
  4. Step 4: Simplify right side
    1,948.16x = 4,020,300.90
  5. Step 5: Solve for x
    x = 4,020,300.90/1,948.16
  6. Step 6: Final answer
    x = 2,063.64

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