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Finding the Fourth Proportional to 2,019.85, 3,030.19 and 721.29

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Solution

The fourth proportional to 2,019.85, 3,030.19 and 721.29 is: 1,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.85 : 3,030.19 = 721.29 : x
  2. Step 2: Convert to fraction form
    2,019.85/3,030.19 = 721.29/x
  3. Step 3: Cross multiply
    2,019.85x = 3,030.19 × 721.29
  4. Step 4: Simplify right side
    2,019.85x = 2,185,626.99
  5. Step 5: Solve for x
    x = 2,185,626.99/2,019.85
  6. Step 6: Final answer
    x = 1,082.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.