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Finding the Fourth Proportional to 2,609.38, 3,604.98 and 2,188.99

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Solution

The fourth proportional to 2,609.38, 3,604.98 and 2,188.99 is: 3,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.38 : 3,604.98 = 2,188.99 : x
  2. Step 2: Convert to fraction form
    2,609.38/3,604.98 = 2,188.99/x
  3. Step 3: Cross multiply
    2,609.38x = 3,604.98 × 2,188.99
  4. Step 4: Simplify right side
    2,609.38x = 7,891,265.17
  5. Step 5: Solve for x
    x = 7,891,265.17/2,609.38
  6. Step 6: Final answer
    x = 3,024.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.