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Finding the Fourth Proportional to 2,070.92, 3,100.86 and 1,742.90

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Solution

The fourth proportional to 2,070.92, 3,100.86 and 1,742.90 is: 2,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.92 : 3,100.86 = 1,742.90 : x
  2. Step 2: Convert to fraction form
    2,070.92/3,100.86 = 1,742.90/x
  3. Step 3: Cross multiply
    2,070.92x = 3,100.86 × 1,742.90
  4. Step 4: Simplify right side
    2,070.92x = 5,404,488.89
  5. Step 5: Solve for x
    x = 5,404,488.89/2,070.92
  6. Step 6: Final answer
    x = 2,609.70

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