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Finding the Fourth Proportional to 2,909.76, 4,364.82 and 1,591.80

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Solution

The fourth proportional to 2,909.76, 4,364.82 and 1,591.80 is: 2,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.76 : 4,364.82 = 1,591.80 : x
  2. Step 2: Convert to fraction form
    2,909.76/4,364.82 = 1,591.80/x
  3. Step 3: Cross multiply
    2,909.76x = 4,364.82 × 1,591.80
  4. Step 4: Simplify right side
    2,909.76x = 6,947,920.48
  5. Step 5: Solve for x
    x = 6,947,920.48/2,909.76
  6. Step 6: Final answer
    x = 2,387.80

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