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Finding the Fourth Proportional to 2,502.62, 3,453.90 and 2,082.23

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Solution

The fourth proportional to 2,502.62, 3,453.90 and 2,082.23 is: 2,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.62 : 3,453.90 = 2,082.23 : x
  2. Step 2: Convert to fraction form
    2,502.62/3,453.90 = 2,082.23/x
  3. Step 3: Cross multiply
    2,502.62x = 3,453.90 × 2,082.23
  4. Step 4: Simplify right side
    2,502.62x = 7,191,814.20
  5. Step 5: Solve for x
    x = 7,191,814.20/2,502.62
  6. Step 6: Final answer
    x = 2,873.71

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1.5x scale

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.