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Finding the Fourth Proportional to 2,288.81, 3,430.57 and 1,053.63

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Solution

The fourth proportional to 2,288.81, 3,430.57 and 1,053.63 is: 1,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.81 : 3,430.57 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    2,288.81/3,430.57 = 1,053.63/x
  3. Step 3: Cross multiply
    2,288.81x = 3,430.57 × 1,053.63
  4. Step 4: Simplify right side
    2,288.81x = 3,614,551.47
  5. Step 5: Solve for x
    x = 3,614,551.47/2,288.81
  6. Step 6: Final answer
    x = 1,579.23

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