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Finding the Fourth Proportional to 2,598.74, 3,584.27 and 1,654.68

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Solution

The fourth proportional to 2,598.74, 3,584.27 and 1,654.68 is: 2,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.74 : 3,584.27 = 1,654.68 : x
  2. Step 2: Convert to fraction form
    2,598.74/3,584.27 = 1,654.68/x
  3. Step 3: Cross multiply
    2,598.74x = 3,584.27 × 1,654.68
  4. Step 4: Simplify right side
    2,598.74x = 5,930,811.61
  5. Step 5: Solve for x
    x = 5,930,811.61/2,598.74
  6. Step 6: Final answer
    x = 2,282.19

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