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Finding the Fourth Proportional to 2,277.84, 3,415.02 and 1,886.64

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Solution

The fourth proportional to 2,277.84, 3,415.02 and 1,886.64 is: 2,828.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.84 : 3,415.02 = 1,886.64 : x
  2. Step 2: Convert to fraction form
    2,277.84/3,415.02 = 1,886.64/x
  3. Step 3: Cross multiply
    2,277.84x = 3,415.02 × 1,886.64
  4. Step 4: Simplify right side
    2,277.84x = 6,442,913.33
  5. Step 5: Solve for x
    x = 6,442,913.33/2,277.84
  6. Step 6: Final answer
    x = 2,828.52

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