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Finding the Fourth Proportional to 3,073.50, 4,608.07 and 1,687.49

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Solution

The fourth proportional to 3,073.50, 4,608.07 and 1,687.49 is: 2,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.50 : 4,608.07 = 1,687.49 : x
  2. Step 2: Convert to fraction form
    3,073.50/4,608.07 = 1,687.49/x
  3. Step 3: Cross multiply
    3,073.50x = 4,608.07 × 1,687.49
  4. Step 4: Simplify right side
    3,073.50x = 7,776,044.79
  5. Step 5: Solve for x
    x = 7,776,044.79/3,073.50
  6. Step 6: Final answer
    x = 2,530.03

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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.