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Finding the Fourth Proportional to 2,654.76, 3,977.52 and 1,422.72

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Solution

The fourth proportional to 2,654.76, 3,977.52 and 1,422.72 is: 2,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.76 : 3,977.52 = 1,422.72 : x
  2. Step 2: Convert to fraction form
    2,654.76/3,977.52 = 1,422.72/x
  3. Step 3: Cross multiply
    2,654.76x = 3,977.52 × 1,422.72
  4. Step 4: Simplify right side
    2,654.76x = 5,658,897.25
  5. Step 5: Solve for x
    x = 5,658,897.25/2,654.76
  6. Step 6: Final answer
    x = 2,131.60

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