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Finding the Fourth Proportional to 1,673.26, 2,506.24 and 805.75

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Solution

The fourth proportional to 1,673.26, 2,506.24 and 805.75 is: 1,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.26 : 2,506.24 = 805.75 : x
  2. Step 2: Convert to fraction form
    1,673.26/2,506.24 = 805.75/x
  3. Step 3: Cross multiply
    1,673.26x = 2,506.24 × 805.75
  4. Step 4: Simplify right side
    1,673.26x = 2,019,402.88
  5. Step 5: Solve for x
    x = 2,019,402.88/1,673.26
  6. Step 6: Final answer
    x = 1,206.87

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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.