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Finding the Fourth Proportional to 1,461.12, 2,188.80 and 1,204.80

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Solution

The fourth proportional to 1,461.12, 2,188.80 and 1,204.80 is: 1,804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.12 : 2,188.80 = 1,204.80 : x
  2. Step 2: Convert to fraction form
    1,461.12/2,188.80 = 1,204.80/x
  3. Step 3: Cross multiply
    1,461.12x = 2,188.80 × 1,204.80
  4. Step 4: Simplify right side
    1,461.12x = 2,637,066.24
  5. Step 5: Solve for x
    x = 2,637,066.24/1,461.12
  6. Step 6: Final answer
    x = 1,804.83

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