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Finding the Fourth Proportional to 2,319.76, 3,477.24 and 1,164.88

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Solution

The fourth proportional to 2,319.76, 3,477.24 and 1,164.88 is: 1,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.76 : 3,477.24 = 1,164.88 : x
  2. Step 2: Convert to fraction form
    2,319.76/3,477.24 = 1,164.88/x
  3. Step 3: Cross multiply
    2,319.76x = 3,477.24 × 1,164.88
  4. Step 4: Simplify right side
    2,319.76x = 4,050,567.33
  5. Step 5: Solve for x
    x = 4,050,567.33/2,319.76
  6. Step 6: Final answer
    x = 1,746.11

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