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Finding the Fourth Proportional to 2,602.26, 3,904.61 and 1,562.63

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Solution

The fourth proportional to 2,602.26, 3,904.61 and 1,562.63 is: 2,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.26 : 3,904.61 = 1,562.63 : x
  2. Step 2: Convert to fraction form
    2,602.26/3,904.61 = 1,562.63/x
  3. Step 3: Cross multiply
    2,602.26x = 3,904.61 × 1,562.63
  4. Step 4: Simplify right side
    2,602.26x = 6,101,433.39
  5. Step 5: Solve for x
    x = 6,101,433.39/2,602.26
  6. Step 6: Final answer
    x = 2,344.67

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