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Finding the Fourth Proportional to 2,638.50, 3,638.80 and 1,897.34

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Solution

The fourth proportional to 2,638.50, 3,638.80 and 1,897.34 is: 2,616.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.50 : 3,638.80 = 1,897.34 : x
  2. Step 2: Convert to fraction form
    2,638.50/3,638.80 = 1,897.34/x
  3. Step 3: Cross multiply
    2,638.50x = 3,638.80 × 1,897.34
  4. Step 4: Simplify right side
    2,638.50x = 6,904,040.79
  5. Step 5: Solve for x
    x = 6,904,040.79/2,638.50
  6. Step 6: Final answer
    x = 2,616.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.