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Finding the Fourth Proportional to 1,705.92, 2,555.64 and 1,011.12

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Solution

The fourth proportional to 1,705.92, 2,555.64 and 1,011.12 is: 1,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.92 : 2,555.64 = 1,011.12 : x
  2. Step 2: Convert to fraction form
    1,705.92/2,555.64 = 1,011.12/x
  3. Step 3: Cross multiply
    1,705.92x = 2,555.64 × 1,011.12
  4. Step 4: Simplify right side
    1,705.92x = 2,584,058.72
  5. Step 5: Solve for x
    x = 2,584,058.72/1,705.92
  6. Step 6: Final answer
    x = 1,514.76

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