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Finding the Fourth Proportional to 2,259.96, 3,390.48 and 1,164.24

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Solution

The fourth proportional to 2,259.96, 3,390.48 and 1,164.24 is: 1,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.96 : 3,390.48 = 1,164.24 : x
  2. Step 2: Convert to fraction form
    2,259.96/3,390.48 = 1,164.24/x
  3. Step 3: Cross multiply
    2,259.96x = 3,390.48 × 1,164.24
  4. Step 4: Simplify right side
    2,259.96x = 3,947,332.44
  5. Step 5: Solve for x
    x = 3,947,332.44/2,259.96
  6. Step 6: Final answer
    x = 1,746.64

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