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Finding the Fourth Proportional to 2,020.48, 3,030.96 and 721.72

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Solution

The fourth proportional to 2,020.48, 3,030.96 and 721.72 is: 1,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.48 : 3,030.96 = 721.72 : x
  2. Step 2: Convert to fraction form
    2,020.48/3,030.96 = 721.72/x
  3. Step 3: Cross multiply
    2,020.48x = 3,030.96 × 721.72
  4. Step 4: Simplify right side
    2,020.48x = 2,187,504.45
  5. Step 5: Solve for x
    x = 2,187,504.45/2,020.48
  6. Step 6: Final answer
    x = 1,082.67

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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.