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Finding the Fourth Proportional to 2,564.78, 3,849.76 and 1,731.76

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Solution

The fourth proportional to 2,564.78, 3,849.76 and 1,731.76 is: 2,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.78 : 3,849.76 = 1,731.76 : x
  2. Step 2: Convert to fraction form
    2,564.78/3,849.76 = 1,731.76/x
  3. Step 3: Cross multiply
    2,564.78x = 3,849.76 × 1,731.76
  4. Step 4: Simplify right side
    2,564.78x = 6,666,860.38
  5. Step 5: Solve for x
    x = 6,666,860.38/2,564.78
  6. Step 6: Final answer
    x = 2,599.39

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