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Finding the Fourth Proportional to 1,784.92, 2,678.12 and 810.76

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Solution

The fourth proportional to 1,784.92, 2,678.12 and 810.76 is: 1,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.92 : 2,678.12 = 810.76 : x
  2. Step 2: Convert to fraction form
    1,784.92/2,678.12 = 810.76/x
  3. Step 3: Cross multiply
    1,784.92x = 2,678.12 × 810.76
  4. Step 4: Simplify right side
    1,784.92x = 2,171,312.57
  5. Step 5: Solve for x
    x = 2,171,312.57/1,784.92
  6. Step 6: Final answer
    x = 1,216.48

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