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Finding the Fourth Proportional to 2,020.87, 3,029.47 and 722.03

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Solution

The fourth proportional to 2,020.87, 3,029.47 and 722.03 is: 1,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.87 : 3,029.47 = 722.03 : x
  2. Step 2: Convert to fraction form
    2,020.87/3,029.47 = 722.03/x
  3. Step 3: Cross multiply
    2,020.87x = 3,029.47 × 722.03
  4. Step 4: Simplify right side
    2,020.87x = 2,187,373.99
  5. Step 5: Solve for x
    x = 2,187,373.99/2,020.87
  6. Step 6: Final answer
    x = 1,082.39

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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.