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Finding the Fourth Proportional to 2,300.16, 3,445.92 and 1,784.64

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Solution

The fourth proportional to 2,300.16, 3,445.92 and 1,784.64 is: 2,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.16 : 3,445.92 = 1,784.64 : x
  2. Step 2: Convert to fraction form
    2,300.16/3,445.92 = 1,784.64/x
  3. Step 3: Cross multiply
    2,300.16x = 3,445.92 × 1,784.64
  4. Step 4: Simplify right side
    2,300.16x = 6,149,726.67
  5. Step 5: Solve for x
    x = 6,149,726.67/2,300.16
  6. Step 6: Final answer
    x = 2,673.61

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