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Finding the Fourth Proportional to 1,566.84, 2,347.78 and 1,257.08

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Solution

The fourth proportional to 1,566.84, 2,347.78 and 1,257.08 is: 1,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.84 : 2,347.78 = 1,257.08 : x
  2. Step 2: Convert to fraction form
    1,566.84/2,347.78 = 1,257.08/x
  3. Step 3: Cross multiply
    1,566.84x = 2,347.78 × 1,257.08
  4. Step 4: Simplify right side
    1,566.84x = 2,951,347.28
  5. Step 5: Solve for x
    x = 2,951,347.28/1,566.84
  6. Step 6: Final answer
    x = 1,883.63

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