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Finding the Fourth Proportional to 1,676.46, 2,513.07 and 811.38

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Solution

The fourth proportional to 1,676.46, 2,513.07 and 811.38 is: 1,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.46 : 2,513.07 = 811.38 : x
  2. Step 2: Convert to fraction form
    1,676.46/2,513.07 = 811.38/x
  3. Step 3: Cross multiply
    1,676.46x = 2,513.07 × 811.38
  4. Step 4: Simplify right side
    1,676.46x = 2,039,054.74
  5. Step 5: Solve for x
    x = 2,039,054.74/1,676.46
  6. Step 6: Final answer
    x = 1,216.29

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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.