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Finding the Fourth Proportional to 1,210.76, 1,816.82 and 1,007.78

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Solution

The fourth proportional to 1,210.76, 1,816.82 and 1,007.78 is: 1,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.76 : 1,816.82 = 1,007.78 : x
  2. Step 2: Convert to fraction form
    1,210.76/1,816.82 = 1,007.78/x
  3. Step 3: Cross multiply
    1,210.76x = 1,816.82 × 1,007.78
  4. Step 4: Simplify right side
    1,210.76x = 1,830,961.92
  5. Step 5: Solve for x
    x = 1,830,961.92/1,210.76
  6. Step 6: Final answer
    x = 1,512.25

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