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Finding the Fourth Proportional to 1,815.75, 2,505.80 and 1,029.78

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Solution

The fourth proportional to 1,815.75, 2,505.80 and 1,029.78 is: 1,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 2,505.80 = 1,029.78 : x
  2. Step 2: Convert to fraction form
    1,815.75/2,505.80 = 1,029.78/x
  3. Step 3: Cross multiply
    1,815.75x = 2,505.80 × 1,029.78
  4. Step 4: Simplify right side
    1,815.75x = 2,580,425.30
  5. Step 5: Solve for x
    x = 2,580,425.30/1,815.75
  6. Step 6: Final answer
    x = 1,421.13

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