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Finding the Fourth Proportional to 3,082.96, 4,624.70 and 1,233.07

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Solution

The fourth proportional to 3,082.96, 4,624.70 and 1,233.07 is: 1,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.96 : 4,624.70 = 1,233.07 : x
  2. Step 2: Convert to fraction form
    3,082.96/4,624.70 = 1,233.07/x
  3. Step 3: Cross multiply
    3,082.96x = 4,624.70 × 1,233.07
  4. Step 4: Simplify right side
    3,082.96x = 5,702,561.10
  5. Step 5: Solve for x
    x = 5,702,561.10/3,082.96
  6. Step 6: Final answer
    x = 1,849.70

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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.