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Finding the Fourth Proportional to 2,501.82, 3,742.00 and 1,459.22

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Solution

The fourth proportional to 2,501.82, 3,742.00 and 1,459.22 is: 2,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.82 : 3,742.00 = 1,459.22 : x
  2. Step 2: Convert to fraction form
    2,501.82/3,742.00 = 1,459.22/x
  3. Step 3: Cross multiply
    2,501.82x = 3,742.00 × 1,459.22
  4. Step 4: Simplify right side
    2,501.82x = 5,460,378.88
  5. Step 5: Solve for x
    x = 5,460,378.88/2,501.82
  6. Step 6: Final answer
    x = 2,182.56

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