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Finding the Fourth Proportional to 1,785.45, 2,678.79 and 1,582.55

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Solution

The fourth proportional to 1,785.45, 2,678.79 and 1,582.55 is: 2,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.45 : 2,678.79 = 1,582.55 : x
  2. Step 2: Convert to fraction form
    1,785.45/2,678.79 = 1,582.55/x
  3. Step 3: Cross multiply
    1,785.45x = 2,678.79 × 1,582.55
  4. Step 4: Simplify right side
    1,785.45x = 4,239,305.72
  5. Step 5: Solve for x
    x = 4,239,305.72/1,785.45
  6. Step 6: Final answer
    x = 2,374.36

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