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Finding the Fourth Proportional to 1,660.14, 2,492.64 and 1,013.76

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Solution

The fourth proportional to 1,660.14, 2,492.64 and 1,013.76 is: 1,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.14 : 2,492.64 = 1,013.76 : x
  2. Step 2: Convert to fraction form
    1,660.14/2,492.64 = 1,013.76/x
  3. Step 3: Cross multiply
    1,660.14x = 2,492.64 × 1,013.76
  4. Step 4: Simplify right side
    1,660.14x = 2,526,938.73
  5. Step 5: Solve for x
    x = 2,526,938.73/1,660.14
  6. Step 6: Final answer
    x = 1,522.12

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