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Finding the Fourth Proportional to 2,207.96, 3,311.16 and 1,589.80

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Solution

The fourth proportional to 2,207.96, 3,311.16 and 1,589.80 is: 2,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.96 : 3,311.16 = 1,589.80 : x
  2. Step 2: Convert to fraction form
    2,207.96/3,311.16 = 1,589.80/x
  3. Step 3: Cross multiply
    2,207.96x = 3,311.16 × 1,589.80
  4. Step 4: Simplify right side
    2,207.96x = 5,264,082.17
  5. Step 5: Solve for x
    x = 5,264,082.17/2,207.96
  6. Step 6: Final answer
    x = 2,384.14

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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.