Home / 1,609.52-2,410.68-961.04

Finding the Fourth Proportional to 1,609.52, 2,410.68 and 961.04

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Solution

The fourth proportional to 1,609.52, 2,410.68 and 961.04 is: 1,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.52 : 2,410.68 = 961.04 : x
  2. Step 2: Convert to fraction form
    1,609.52/2,410.68 = 961.04/x
  3. Step 3: Cross multiply
    1,609.52x = 2,410.68 × 961.04
  4. Step 4: Simplify right side
    1,609.52x = 2,316,759.91
  5. Step 5: Solve for x
    x = 2,316,759.91/1,609.52
  6. Step 6: Final answer
    x = 1,439.41

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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.