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Finding the Fourth Proportional to 2,590.79, 3,882.80 and 1,029.96

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Solution

The fourth proportional to 2,590.79, 3,882.80 and 1,029.96 is: 1,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.79 : 3,882.80 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    2,590.79/3,882.80 = 1,029.96/x
  3. Step 3: Cross multiply
    2,590.79x = 3,882.80 × 1,029.96
  4. Step 4: Simplify right side
    2,590.79x = 3,999,128.69
  5. Step 5: Solve for x
    x = 3,999,128.69/2,590.79
  6. Step 6: Final answer
    x = 1,543.59

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