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Finding the Fourth Proportional to 2,082.24, 3,123.90 and 621.36

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Solution

The fourth proportional to 2,082.24, 3,123.90 and 621.36 is: 932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.24 : 3,123.90 = 621.36 : x
  2. Step 2: Convert to fraction form
    2,082.24/3,123.90 = 621.36/x
  3. Step 3: Cross multiply
    2,082.24x = 3,123.90 × 621.36
  4. Step 4: Simplify right side
    2,082.24x = 1,941,066.50
  5. Step 5: Solve for x
    x = 1,941,066.50/2,082.24
  6. Step 6: Final answer
    x = 932.20

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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.