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Finding the Fourth Proportional to 3,112.68, 4,666.56 and 1,164.66

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Solution

The fourth proportional to 3,112.68, 4,666.56 and 1,164.66 is: 1,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,666.56 = 1,164.66 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,666.56 = 1,164.66/x
  3. Step 3: Cross multiply
    3,112.68x = 4,666.56 × 1,164.66
  4. Step 4: Simplify right side
    3,112.68x = 5,434,955.77
  5. Step 5: Solve for x
    x = 5,434,955.77/3,112.68
  6. Step 6: Final answer
    x = 1,746.07

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