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Finding the Fourth Proportional to 2,673.87, 4,011.49 and 1,029.98

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Solution

The fourth proportional to 2,673.87, 4,011.49 and 1,029.98 is: 1,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.87 : 4,011.49 = 1,029.98 : x
  2. Step 2: Convert to fraction form
    2,673.87/4,011.49 = 1,029.98/x
  3. Step 3: Cross multiply
    2,673.87x = 4,011.49 × 1,029.98
  4. Step 4: Simplify right side
    2,673.87x = 4,131,743.22
  5. Step 5: Solve for x
    x = 4,131,743.22/2,673.87
  6. Step 6: Final answer
    x = 1,545.23

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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.