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Finding the Fourth Proportional to 1,676.62, 2,512.37 and 702.19

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Solution

The fourth proportional to 1,676.62, 2,512.37 and 702.19 is: 1,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.62 : 2,512.37 = 702.19 : x
  2. Step 2: Convert to fraction form
    1,676.62/2,512.37 = 702.19/x
  3. Step 3: Cross multiply
    1,676.62x = 2,512.37 × 702.19
  4. Step 4: Simplify right side
    1,676.62x = 1,764,157.58
  5. Step 5: Solve for x
    x = 1,764,157.58/1,676.62
  6. Step 6: Final answer
    x = 1,052.21

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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.