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Finding the Fourth Proportional to 2,638.74, 3,948.93 and 1,598.16

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Solution

The fourth proportional to 2,638.74, 3,948.93 and 1,598.16 is: 2,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.74 : 3,948.93 = 1,598.16 : x
  2. Step 2: Convert to fraction form
    2,638.74/3,948.93 = 1,598.16/x
  3. Step 3: Cross multiply
    2,638.74x = 3,948.93 × 1,598.16
  4. Step 4: Simplify right side
    2,638.74x = 6,311,021.97
  5. Step 5: Solve for x
    x = 6,311,021.97/2,638.74
  6. Step 6: Final answer
    x = 2,391.68

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