Home / 1,532.26-2,298.42-492.46

Finding the Fourth Proportional to 1,532.26, 2,298.42 and 492.46

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Solution

The fourth proportional to 1,532.26, 2,298.42 and 492.46 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.26 : 2,298.42 = 492.46 : x
  2. Step 2: Convert to fraction form
    1,532.26/2,298.42 = 492.46/x
  3. Step 3: Cross multiply
    1,532.26x = 2,298.42 × 492.46
  4. Step 4: Simplify right side
    1,532.26x = 1,131,879.91
  5. Step 5: Solve for x
    x = 1,131,879.91/1,532.26
  6. Step 6: Final answer
    x = 738.70

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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.