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Finding the Fourth Proportional to 2,082.64, 3,124.48 and 621.68

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Solution

The fourth proportional to 2,082.64, 3,124.48 and 621.68 is: 932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.64 : 3,124.48 = 621.68 : x
  2. Step 2: Convert to fraction form
    2,082.64/3,124.48 = 621.68/x
  3. Step 3: Cross multiply
    2,082.64x = 3,124.48 × 621.68
  4. Step 4: Simplify right side
    2,082.64x = 1,942,426.73
  5. Step 5: Solve for x
    x = 1,942,426.73/2,082.64
  6. Step 6: Final answer
    x = 932.68

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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.