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Finding the Fourth Proportional to 2,082.30, 3,123.08 and 621.11

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Solution

The fourth proportional to 2,082.30, 3,123.08 and 621.11 is: 931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.30 : 3,123.08 = 621.11 : x
  2. Step 2: Convert to fraction form
    2,082.30/3,123.08 = 621.11/x
  3. Step 3: Cross multiply
    2,082.30x = 3,123.08 × 621.11
  4. Step 4: Simplify right side
    2,082.30x = 1,939,762.16
  5. Step 5: Solve for x
    x = 1,939,762.16/2,082.30
  6. Step 6: Final answer
    x = 931.55

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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.