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Finding the Fourth Proportional to 1,824.64, 2,735.47 and 1,001.77

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Solution

The fourth proportional to 1,824.64, 2,735.47 and 1,001.77 is: 1,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.64 : 2,735.47 = 1,001.77 : x
  2. Step 2: Convert to fraction form
    1,824.64/2,735.47 = 1,001.77/x
  3. Step 3: Cross multiply
    1,824.64x = 2,735.47 × 1,001.77
  4. Step 4: Simplify right side
    1,824.64x = 2,740,311.78
  5. Step 5: Solve for x
    x = 2,740,311.78/1,824.64
  6. Step 6: Final answer
    x = 1,501.84

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