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Finding the Fourth Proportional to 1,370.47, 2,055.71 and 1,164.55

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Solution

The fourth proportional to 1,370.47, 2,055.71 and 1,164.55 is: 1,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.47 : 2,055.71 = 1,164.55 : x
  2. Step 2: Convert to fraction form
    1,370.47/2,055.71 = 1,164.55/x
  3. Step 3: Cross multiply
    1,370.47x = 2,055.71 × 1,164.55
  4. Step 4: Simplify right side
    1,370.47x = 2,393,977.08
  5. Step 5: Solve for x
    x = 2,393,977.08/1,370.47
  6. Step 6: Final answer
    x = 1,746.83

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