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Finding the Fourth Proportional to 2,764.42, 4,154.82 and 2,560.72

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Solution

The fourth proportional to 2,764.42, 4,154.82 and 2,560.72 is: 3,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.42 : 4,154.82 = 2,560.72 : x
  2. Step 2: Convert to fraction form
    2,764.42/4,154.82 = 2,560.72/x
  3. Step 3: Cross multiply
    2,764.42x = 4,154.82 × 2,560.72
  4. Step 4: Simplify right side
    2,764.42x = 10,639,330.67
  5. Step 5: Solve for x
    x = 10,639,330.67/2,764.42
  6. Step 6: Final answer
    x = 3,848.67

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