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Finding the Fourth Proportional to 1,649.57, 2,474.81 and 676.35

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Solution

The fourth proportional to 1,649.57, 2,474.81 and 676.35 is: 1,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.57 : 2,474.81 = 676.35 : x
  2. Step 2: Convert to fraction form
    1,649.57/2,474.81 = 676.35/x
  3. Step 3: Cross multiply
    1,649.57x = 2,474.81 × 676.35
  4. Step 4: Simplify right side
    1,649.57x = 1,673,834.36
  5. Step 5: Solve for x
    x = 1,673,834.36/1,649.57
  6. Step 6: Final answer
    x = 1,014.71

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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.