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Finding the Fourth Proportional to 1,829.18, 2,738.61 and 1,656.18

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Solution

The fourth proportional to 1,829.18, 2,738.61 and 1,656.18 is: 2,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.18 : 2,738.61 = 1,656.18 : x
  2. Step 2: Convert to fraction form
    1,829.18/2,738.61 = 1,656.18/x
  3. Step 3: Cross multiply
    1,829.18x = 2,738.61 × 1,656.18
  4. Step 4: Simplify right side
    1,829.18x = 4,535,631.11
  5. Step 5: Solve for x
    x = 4,535,631.11/1,829.18
  6. Step 6: Final answer
    x = 2,479.59

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