Home / 1,459.26-2,184.30-965.88

Finding the Fourth Proportional to 1,459.26, 2,184.30 and 965.88

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Solution

The fourth proportional to 1,459.26, 2,184.30 and 965.88 is: 1,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.26 : 2,184.30 = 965.88 : x
  2. Step 2: Convert to fraction form
    1,459.26/2,184.30 = 965.88/x
  3. Step 3: Cross multiply
    1,459.26x = 2,184.30 × 965.88
  4. Step 4: Simplify right side
    1,459.26x = 2,109,771.68
  5. Step 5: Solve for x
    x = 2,109,771.68/1,459.26
  6. Step 6: Final answer
    x = 1,445.78

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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.