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Finding the Fourth Proportional to 2,082.42, 3,124.29 and 621.66

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Solution

The fourth proportional to 2,082.42, 3,124.29 and 621.66 is: 932.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.42 : 3,124.29 = 621.66 : x
  2. Step 2: Convert to fraction form
    2,082.42/3,124.29 = 621.66/x
  3. Step 3: Cross multiply
    2,082.42x = 3,124.29 × 621.66
  4. Step 4: Simplify right side
    2,082.42x = 1,942,246.12
  5. Step 5: Solve for x
    x = 1,942,246.12/2,082.42
  6. Step 6: Final answer
    x = 932.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.