Home / 2,082.55-3,128.66-1,970.57

Finding the Fourth Proportional to 2,082.55, 3,128.66 and 1,970.57

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Solution

The fourth proportional to 2,082.55, 3,128.66 and 1,970.57 is: 2,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.55 : 3,128.66 = 1,970.57 : x
  2. Step 2: Convert to fraction form
    2,082.55/3,128.66 = 1,970.57/x
  3. Step 3: Cross multiply
    2,082.55x = 3,128.66 × 1,970.57
  4. Step 4: Simplify right side
    2,082.55x = 6,165,243.54
  5. Step 5: Solve for x
    x = 6,165,243.54/2,082.55
  6. Step 6: Final answer
    x = 2,960.44

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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.