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Finding the Fourth Proportional to 1,609.80, 2,414.88 and 513.91

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Solution

The fourth proportional to 1,609.80, 2,414.88 and 513.91 is: 770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.80 : 2,414.88 = 513.91 : x
  2. Step 2: Convert to fraction form
    1,609.80/2,414.88 = 513.91/x
  3. Step 3: Cross multiply
    1,609.80x = 2,414.88 × 513.91
  4. Step 4: Simplify right side
    1,609.80x = 1,241,038.30
  5. Step 5: Solve for x
    x = 1,241,038.30/1,609.80
  6. Step 6: Final answer
    x = 770.93

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