Home / 1,922.09-2,882.68-623.30

Finding the Fourth Proportional to 1,922.09, 2,882.68 and 623.30

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Solution

The fourth proportional to 1,922.09, 2,882.68 and 623.30 is: 934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.09 : 2,882.68 = 623.30 : x
  2. Step 2: Convert to fraction form
    1,922.09/2,882.68 = 623.30/x
  3. Step 3: Cross multiply
    1,922.09x = 2,882.68 × 623.30
  4. Step 4: Simplify right side
    1,922.09x = 1,796,774.44
  5. Step 5: Solve for x
    x = 1,796,774.44/1,922.09
  6. Step 6: Final answer
    x = 934.80

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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.