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Finding the Fourth Proportional to 2,082.38, 3,123.59 and 621.53

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Solution

The fourth proportional to 2,082.38, 3,123.59 and 621.53 is: 932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.38 : 3,123.59 = 621.53 : x
  2. Step 2: Convert to fraction form
    2,082.38/3,123.59 = 621.53/x
  3. Step 3: Cross multiply
    2,082.38x = 3,123.59 × 621.53
  4. Step 4: Simplify right side
    2,082.38x = 1,941,405.76
  5. Step 5: Solve for x
    x = 1,941,405.76/2,082.38
  6. Step 6: Final answer
    x = 932.30

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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.