Home / 2,830.38-3,905.96-2,233.50

Finding the Fourth Proportional to 2,830.38, 3,905.96 and 2,233.50

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Solution

The fourth proportional to 2,830.38, 3,905.96 and 2,233.50 is: 3,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.38 : 3,905.96 = 2,233.50 : x
  2. Step 2: Convert to fraction form
    2,830.38/3,905.96 = 2,233.50/x
  3. Step 3: Cross multiply
    2,830.38x = 3,905.96 × 2,233.50
  4. Step 4: Simplify right side
    2,830.38x = 8,723,961.66
  5. Step 5: Solve for x
    x = 8,723,961.66/2,830.38
  6. Step 6: Final answer
    x = 3,082.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.