Home / 1,846.26-2,769.39-547.80

Finding the Fourth Proportional to 1,846.26, 2,769.39 and 547.80

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Solution

The fourth proportional to 1,846.26, 2,769.39 and 547.80 is: 821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.26 : 2,769.39 = 547.80 : x
  2. Step 2: Convert to fraction form
    1,846.26/2,769.39 = 547.80/x
  3. Step 3: Cross multiply
    1,846.26x = 2,769.39 × 547.80
  4. Step 4: Simplify right side
    1,846.26x = 1,517,071.84
  5. Step 5: Solve for x
    x = 1,517,071.84/1,846.26
  6. Step 6: Final answer
    x = 821.70

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Why These Related Problems?

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