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Finding the Fourth Proportional to 2,552.82, 3,829.64 and 1,254.40

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Solution

The fourth proportional to 2,552.82, 3,829.64 and 1,254.40 is: 1,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.82 : 3,829.64 = 1,254.40 : x
  2. Step 2: Convert to fraction form
    2,552.82/3,829.64 = 1,254.40/x
  3. Step 3: Cross multiply
    2,552.82x = 3,829.64 × 1,254.40
  4. Step 4: Simplify right side
    2,552.82x = 4,803,900.42
  5. Step 5: Solve for x
    x = 4,803,900.42/2,552.82
  6. Step 6: Final answer
    x = 1,881.80

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