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Finding the Fourth Proportional to 1,741.85, 2,609.35 and 1,009.88

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Solution

The fourth proportional to 1,741.85, 2,609.35 and 1,009.88 is: 1,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.85 : 2,609.35 = 1,009.88 : x
  2. Step 2: Convert to fraction form
    1,741.85/2,609.35 = 1,009.88/x
  3. Step 3: Cross multiply
    1,741.85x = 2,609.35 × 1,009.88
  4. Step 4: Simplify right side
    1,741.85x = 2,635,134.38
  5. Step 5: Solve for x
    x = 2,635,134.38/1,741.85
  6. Step 6: Final answer
    x = 1,512.84

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