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Finding the Fourth Proportional to 2,543.56, 3,815.10 and 1,004.68

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Solution

The fourth proportional to 2,543.56, 3,815.10 and 1,004.68 is: 1,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.56 : 3,815.10 = 1,004.68 : x
  2. Step 2: Convert to fraction form
    2,543.56/3,815.10 = 1,004.68/x
  3. Step 3: Cross multiply
    2,543.56x = 3,815.10 × 1,004.68
  4. Step 4: Simplify right side
    2,543.56x = 3,832,954.67
  5. Step 5: Solve for x
    x = 3,832,954.67/2,543.56
  6. Step 6: Final answer
    x = 1,506.93

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