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Finding the Fourth Proportional to 2,565.61, 3,845.25 and 2,043.46

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Solution

The fourth proportional to 2,565.61, 3,845.25 and 2,043.46 is: 3,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.61 : 3,845.25 = 2,043.46 : x
  2. Step 2: Convert to fraction form
    2,565.61/3,845.25 = 2,043.46/x
  3. Step 3: Cross multiply
    2,565.61x = 3,845.25 × 2,043.46
  4. Step 4: Simplify right side
    2,565.61x = 7,857,605.51
  5. Step 5: Solve for x
    x = 7,857,605.51/2,565.61
  6. Step 6: Final answer
    x = 3,062.67

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