Home / 1,414.10-2,122.23-950.78

Finding the Fourth Proportional to 1,414.10, 2,122.23 and 950.78

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Solution

The fourth proportional to 1,414.10, 2,122.23 and 950.78 is: 1,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.10 : 2,122.23 = 950.78 : x
  2. Step 2: Convert to fraction form
    1,414.10/2,122.23 = 950.78/x
  3. Step 3: Cross multiply
    1,414.10x = 2,122.23 × 950.78
  4. Step 4: Simplify right side
    1,414.10x = 2,017,773.84
  5. Step 5: Solve for x
    x = 2,017,773.84/1,414.10
  6. Step 6: Final answer
    x = 1,426.90

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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.