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Finding the Fourth Proportional to 2,638.69, 3,658.05 and 2,498.25

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Solution

The fourth proportional to 2,638.69, 3,658.05 and 2,498.25 is: 3,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.69 : 3,658.05 = 2,498.25 : x
  2. Step 2: Convert to fraction form
    2,638.69/3,658.05 = 2,498.25/x
  3. Step 3: Cross multiply
    2,638.69x = 3,658.05 × 2,498.25
  4. Step 4: Simplify right side
    2,638.69x = 9,138,692.63
  5. Step 5: Solve for x
    x = 9,138,692.63/2,638.69
  6. Step 6: Final answer
    x = 3,463.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.