Home / 1,634.96-2,457.30-769.88

Finding the Fourth Proportional to 1,634.96, 2,457.30 and 769.88

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Solution

The fourth proportional to 1,634.96, 2,457.30 and 769.88 is: 1,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.96 : 2,457.30 = 769.88 : x
  2. Step 2: Convert to fraction form
    1,634.96/2,457.30 = 769.88/x
  3. Step 3: Cross multiply
    1,634.96x = 2,457.30 × 769.88
  4. Step 4: Simplify right side
    1,634.96x = 1,891,832.27
  5. Step 5: Solve for x
    x = 1,891,832.27/1,634.96
  6. Step 6: Final answer
    x = 1,157.11

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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.