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Finding the Fourth Proportional to 1,552.47, 2,326.42 and 1,160.63

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Solution

The fourth proportional to 1,552.47, 2,326.42 and 1,160.63 is: 1,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.47 : 2,326.42 = 1,160.63 : x
  2. Step 2: Convert to fraction form
    1,552.47/2,326.42 = 1,160.63/x
  3. Step 3: Cross multiply
    1,552.47x = 2,326.42 × 1,160.63
  4. Step 4: Simplify right side
    1,552.47x = 2,700,115.76
  5. Step 5: Solve for x
    x = 2,700,115.76/1,552.47
  6. Step 6: Final answer
    x = 1,739.24

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