Home / 1,747.14-2,618.32-965.98

Finding the Fourth Proportional to 1,747.14, 2,618.32 and 965.98

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Solution

The fourth proportional to 1,747.14, 2,618.32 and 965.98 is: 1,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.14 : 2,618.32 = 965.98 : x
  2. Step 2: Convert to fraction form
    1,747.14/2,618.32 = 965.98/x
  3. Step 3: Cross multiply
    1,747.14x = 2,618.32 × 965.98
  4. Step 4: Simplify right side
    1,747.14x = 2,529,244.75
  5. Step 5: Solve for x
    x = 2,529,244.75/1,747.14
  6. Step 6: Final answer
    x = 1,447.65

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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.