Home / 1,609.23-2,414.30-829.52

Finding the Fourth Proportional to 1,609.23, 2,414.30 and 829.52

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Solution

The fourth proportional to 1,609.23, 2,414.30 and 829.52 is: 1,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.23 : 2,414.30 = 829.52 : x
  2. Step 2: Convert to fraction form
    1,609.23/2,414.30 = 829.52/x
  3. Step 3: Cross multiply
    1,609.23x = 2,414.30 × 829.52
  4. Step 4: Simplify right side
    1,609.23x = 2,002,693.92
  5. Step 5: Solve for x
    x = 2,002,693.92/1,609.23
  6. Step 6: Final answer
    x = 1,244.50

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1.5x scale

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.