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Finding the Fourth Proportional to 1,780.43, 2,665.60 and 1,415.75

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Solution

The fourth proportional to 1,780.43, 2,665.60 and 1,415.75 is: 2,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.43 : 2,665.60 = 1,415.75 : x
  2. Step 2: Convert to fraction form
    1,780.43/2,665.60 = 1,415.75/x
  3. Step 3: Cross multiply
    1,780.43x = 2,665.60 × 1,415.75
  4. Step 4: Simplify right side
    1,780.43x = 3,773,823.20
  5. Step 5: Solve for x
    x = 3,773,823.20/1,780.43
  6. Step 6: Final answer
    x = 2,119.61

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