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Finding the Fourth Proportional to 3,159.66, 4,742.41 and 1,600.76

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Solution

The fourth proportional to 3,159.66, 4,742.41 and 1,600.76 is: 2,402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.66 : 4,742.41 = 1,600.76 : x
  2. Step 2: Convert to fraction form
    3,159.66/4,742.41 = 1,600.76/x
  3. Step 3: Cross multiply
    3,159.66x = 4,742.41 × 1,600.76
  4. Step 4: Simplify right side
    3,159.66x = 7,591,473.34
  5. Step 5: Solve for x
    x = 7,591,473.34/3,159.66
  6. Step 6: Final answer
    x = 2,402.62

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