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Finding the Fourth Proportional to 2,552.96, 3,829.08 and 1,585.28

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Solution

The fourth proportional to 2,552.96, 3,829.08 and 1,585.28 is: 2,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.96 : 3,829.08 = 1,585.28 : x
  2. Step 2: Convert to fraction form
    2,552.96/3,829.08 = 1,585.28/x
  3. Step 3: Cross multiply
    2,552.96x = 3,829.08 × 1,585.28
  4. Step 4: Simplify right side
    2,552.96x = 6,070,163.94
  5. Step 5: Solve for x
    x = 6,070,163.94/2,552.96
  6. Step 6: Final answer
    x = 2,377.70

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