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Finding the Fourth Proportional to 1,427.76, 2,138.40 and 1,265.76

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Solution

The fourth proportional to 1,427.76, 2,138.40 and 1,265.76 is: 1,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.76 : 2,138.40 = 1,265.76 : x
  2. Step 2: Convert to fraction form
    1,427.76/2,138.40 = 1,265.76/x
  3. Step 3: Cross multiply
    1,427.76x = 2,138.40 × 1,265.76
  4. Step 4: Simplify right side
    1,427.76x = 2,706,701.18
  5. Step 5: Solve for x
    x = 2,706,701.18/1,427.76
  6. Step 6: Final answer
    x = 1,895.77

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