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Finding the Fourth Proportional to 2,531.69, 3,792.05 and 1,604.95

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Solution

The fourth proportional to 2,531.69, 3,792.05 and 1,604.95 is: 2,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.69 : 3,792.05 = 1,604.95 : x
  2. Step 2: Convert to fraction form
    2,531.69/3,792.05 = 1,604.95/x
  3. Step 3: Cross multiply
    2,531.69x = 3,792.05 × 1,604.95
  4. Step 4: Simplify right side
    2,531.69x = 6,086,039.16
  5. Step 5: Solve for x
    x = 6,086,039.16/2,531.69
  6. Step 6: Final answer
    x = 2,403.94

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