Home / 2,082.32-3,123.80-1,214.80

Finding the Fourth Proportional to 2,082.32, 3,123.80 and 1,214.80

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Solution

The fourth proportional to 2,082.32, 3,123.80 and 1,214.80 is: 1,822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.32 : 3,123.80 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    2,082.32/3,123.80 = 1,214.80/x
  3. Step 3: Cross multiply
    2,082.32x = 3,123.80 × 1,214.80
  4. Step 4: Simplify right side
    2,082.32x = 3,794,792.24
  5. Step 5: Solve for x
    x = 3,794,792.24/2,082.32
  6. Step 6: Final answer
    x = 1,822.39

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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.