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Finding the Fourth Proportional to 1,609.74, 2,411.82 and 1,265.28

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Solution

The fourth proportional to 1,609.74, 2,411.82 and 1,265.28 is: 1,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.74 : 2,411.82 = 1,265.28 : x
  2. Step 2: Convert to fraction form
    1,609.74/2,411.82 = 1,265.28/x
  3. Step 3: Cross multiply
    1,609.74x = 2,411.82 × 1,265.28
  4. Step 4: Simplify right side
    1,609.74x = 3,051,627.61
  5. Step 5: Solve for x
    x = 3,051,627.61/1,609.74
  6. Step 6: Final answer
    x = 1,895.73

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