Home / 2,257.70-3,382.23-1,523.66

Finding the Fourth Proportional to 2,257.70, 3,382.23 and 1,523.66

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Solution

The fourth proportional to 2,257.70, 3,382.23 and 1,523.66 is: 2,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.70 : 3,382.23 = 1,523.66 : x
  2. Step 2: Convert to fraction form
    2,257.70/3,382.23 = 1,523.66/x
  3. Step 3: Cross multiply
    2,257.70x = 3,382.23 × 1,523.66
  4. Step 4: Simplify right side
    2,257.70x = 5,153,368.56
  5. Step 5: Solve for x
    x = 5,153,368.56/2,257.70
  6. Step 6: Final answer
    x = 2,282.57

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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.