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Finding the Fourth Proportional to 2,705.85, 4,058.42 and 1,146.47

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Solution

The fourth proportional to 2,705.85, 4,058.42 and 1,146.47 is: 1,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.85 : 4,058.42 = 1,146.47 : x
  2. Step 2: Convert to fraction form
    2,705.85/4,058.42 = 1,146.47/x
  3. Step 3: Cross multiply
    2,705.85x = 4,058.42 × 1,146.47
  4. Step 4: Simplify right side
    2,705.85x = 4,652,830.75
  5. Step 5: Solve for x
    x = 4,652,830.75/2,705.85
  6. Step 6: Final answer
    x = 1,719.54

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