Home / 1,612.24-2,414.85-996.10

Finding the Fourth Proportional to 1,612.24, 2,414.85 and 996.10

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Solution

The fourth proportional to 1,612.24, 2,414.85 and 996.10 is: 1,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.24 : 2,414.85 = 996.10 : x
  2. Step 2: Convert to fraction form
    1,612.24/2,414.85 = 996.10/x
  3. Step 3: Cross multiply
    1,612.24x = 2,414.85 × 996.10
  4. Step 4: Simplify right side
    1,612.24x = 2,405,432.09
  5. Step 5: Solve for x
    x = 2,405,432.09/1,612.24
  6. Step 6: Final answer
    x = 1,491.98

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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.