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Finding the Fourth Proportional to 1,676.94, 2,508.03 and 1,493.16

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Solution

The fourth proportional to 1,676.94, 2,508.03 and 1,493.16 is: 2,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.94 : 2,508.03 = 1,493.16 : x
  2. Step 2: Convert to fraction form
    1,676.94/2,508.03 = 1,493.16/x
  3. Step 3: Cross multiply
    1,676.94x = 2,508.03 × 1,493.16
  4. Step 4: Simplify right side
    1,676.94x = 3,744,890.07
  5. Step 5: Solve for x
    x = 3,744,890.07/1,676.94
  6. Step 6: Final answer
    x = 2,233.17

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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.