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Finding the Fourth Proportional to 2,795.64, 4,186.89 and 1,642.20

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Solution

The fourth proportional to 2,795.64, 4,186.89 and 1,642.20 is: 2,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.64 : 4,186.89 = 1,642.20 : x
  2. Step 2: Convert to fraction form
    2,795.64/4,186.89 = 1,642.20/x
  3. Step 3: Cross multiply
    2,795.64x = 4,186.89 × 1,642.20
  4. Step 4: Simplify right side
    2,795.64x = 6,875,710.76
  5. Step 5: Solve for x
    x = 6,875,710.76/2,795.64
  6. Step 6: Final answer
    x = 2,459.44

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