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Finding the Fourth Proportional to 2,140.42, 3,207.90 and 1,410.51

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Solution

The fourth proportional to 2,140.42, 3,207.90 and 1,410.51 is: 2,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.42 : 3,207.90 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    2,140.42/3,207.90 = 1,410.51/x
  3. Step 3: Cross multiply
    2,140.42x = 3,207.90 × 1,410.51
  4. Step 4: Simplify right side
    2,140.42x = 4,524,767.98
  5. Step 5: Solve for x
    x = 4,524,767.98/2,140.42
  6. Step 6: Final answer
    x = 2,113.96

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