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Finding the Fourth Proportional to 2,735.64, 4,100.02 and 1,566.61

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Solution

The fourth proportional to 2,735.64, 4,100.02 and 1,566.61 is: 2,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.64 : 4,100.02 = 1,566.61 : x
  2. Step 2: Convert to fraction form
    2,735.64/4,100.02 = 1,566.61/x
  3. Step 3: Cross multiply
    2,735.64x = 4,100.02 × 1,566.61
  4. Step 4: Simplify right side
    2,735.64x = 6,423,118.17
  5. Step 5: Solve for x
    x = 6,423,118.17/2,735.64
  6. Step 6: Final answer
    x = 2,347.94

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