Home / 2,151.96-2,971.62-2,082.24

Finding the Fourth Proportional to 2,151.96, 2,971.62 and 2,082.24

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Solution

The fourth proportional to 2,151.96, 2,971.62 and 2,082.24 is: 2,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.96 : 2,971.62 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    2,151.96/2,971.62 = 2,082.24/x
  3. Step 3: Cross multiply
    2,151.96x = 2,971.62 × 2,082.24
  4. Step 4: Simplify right side
    2,151.96x = 6,187,626.03
  5. Step 5: Solve for x
    x = 6,187,626.03/2,151.96
  6. Step 6: Final answer
    x = 2,875.34

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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.