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Finding the Fourth Proportional to 1,885.41, 2,824.00 and 1,152.77

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Solution

The fourth proportional to 1,885.41, 2,824.00 and 1,152.77 is: 1,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.41 : 2,824.00 = 1,152.77 : x
  2. Step 2: Convert to fraction form
    1,885.41/2,824.00 = 1,152.77/x
  3. Step 3: Cross multiply
    1,885.41x = 2,824.00 × 1,152.77
  4. Step 4: Simplify right side
    1,885.41x = 3,255,405.48
  5. Step 5: Solve for x
    x = 3,255,405.48/1,885.41
  6. Step 6: Final answer
    x = 1,726.63

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