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Finding the Fourth Proportional to 1,674.73, 2,508.85 and 809.65

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Solution

The fourth proportional to 1,674.73, 2,508.85 and 809.65 is: 1,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.73 : 2,508.85 = 809.65 : x
  2. Step 2: Convert to fraction form
    1,674.73/2,508.85 = 809.65/x
  3. Step 3: Cross multiply
    1,674.73x = 2,508.85 × 809.65
  4. Step 4: Simplify right side
    1,674.73x = 2,031,290.40
  5. Step 5: Solve for x
    x = 2,031,290.40/1,674.73
  6. Step 6: Final answer
    x = 1,212.91

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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.