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Finding the Fourth Proportional to 2,089.50, 2,882.73 and 1,204.98

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Solution

The fourth proportional to 2,089.50, 2,882.73 and 1,204.98 is: 1,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.50 : 2,882.73 = 1,204.98 : x
  2. Step 2: Convert to fraction form
    2,089.50/2,882.73 = 1,204.98/x
  3. Step 3: Cross multiply
    2,089.50x = 2,882.73 × 1,204.98
  4. Step 4: Simplify right side
    2,089.50x = 3,473,635.14
  5. Step 5: Solve for x
    x = 3,473,635.14/2,089.50
  6. Step 6: Final answer
    x = 1,662.42

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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.