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Finding the Fourth Proportional to 1,845.94, 2,769.36 and 547.41

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Solution

The fourth proportional to 1,845.94, 2,769.36 and 547.41 is: 821.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.94 : 2,769.36 = 547.41 : x
  2. Step 2: Convert to fraction form
    1,845.94/2,769.36 = 547.41/x
  3. Step 3: Cross multiply
    1,845.94x = 2,769.36 × 547.41
  4. Step 4: Simplify right side
    1,845.94x = 1,515,975.36
  5. Step 5: Solve for x
    x = 1,515,975.36/1,845.94
  6. Step 6: Final answer
    x = 821.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.