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Finding the Fourth Proportional to 1,784.32, 2,677.68 and 1,072.53

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Solution

The fourth proportional to 1,784.32, 2,677.68 and 1,072.53 is: 1,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.32 : 2,677.68 = 1,072.53 : x
  2. Step 2: Convert to fraction form
    1,784.32/2,677.68 = 1,072.53/x
  3. Step 3: Cross multiply
    1,784.32x = 2,677.68 × 1,072.53
  4. Step 4: Simplify right side
    1,784.32x = 2,871,892.13
  5. Step 5: Solve for x
    x = 2,871,892.13/1,784.32
  6. Step 6: Final answer
    x = 1,609.52

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