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Finding the Fourth Proportional to 2,594.03, 3,581.01 and 1,600.76

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Solution

The fourth proportional to 2,594.03, 3,581.01 and 1,600.76 is: 2,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.03 : 3,581.01 = 1,600.76 : x
  2. Step 2: Convert to fraction form
    2,594.03/3,581.01 = 1,600.76/x
  3. Step 3: Cross multiply
    2,594.03x = 3,581.01 × 1,600.76
  4. Step 4: Simplify right side
    2,594.03x = 5,732,346.52
  5. Step 5: Solve for x
    x = 5,732,346.52/2,594.03
  6. Step 6: Final answer
    x = 2,209.83

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