Home / 1,523.82-2,284.50-1,437.96

Finding the Fourth Proportional to 1,523.82, 2,284.50 and 1,437.96

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Solution

The fourth proportional to 1,523.82, 2,284.50 and 1,437.96 is: 2,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.82 : 2,284.50 = 1,437.96 : x
  2. Step 2: Convert to fraction form
    1,523.82/2,284.50 = 1,437.96/x
  3. Step 3: Cross multiply
    1,523.82x = 2,284.50 × 1,437.96
  4. Step 4: Simplify right side
    1,523.82x = 3,285,019.62
  5. Step 5: Solve for x
    x = 3,285,019.62/1,523.82
  6. Step 6: Final answer
    x = 2,155.78

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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.