Home / 2,082.56-3,101.74-2,072.50

Finding the Fourth Proportional to 2,082.56, 3,101.74 and 2,072.50

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Solution

The fourth proportional to 2,082.56, 3,101.74 and 2,072.50 is: 3,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.56 : 3,101.74 = 2,072.50 : x
  2. Step 2: Convert to fraction form
    2,082.56/3,101.74 = 2,072.50/x
  3. Step 3: Cross multiply
    2,082.56x = 3,101.74 × 2,072.50
  4. Step 4: Simplify right side
    2,082.56x = 6,428,345.79
  5. Step 5: Solve for x
    x = 6,428,345.79/2,082.56
  6. Step 6: Final answer
    x = 3,086.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.