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Finding the Fourth Proportional to 2,137.07, 3,205.34 and 577.20

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Solution

The fourth proportional to 2,137.07, 3,205.34 and 577.20 is: 865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.07 : 3,205.34 = 577.20 : x
  2. Step 2: Convert to fraction form
    2,137.07/3,205.34 = 577.20/x
  3. Step 3: Cross multiply
    2,137.07x = 3,205.34 × 577.20
  4. Step 4: Simplify right side
    2,137.07x = 1,850,122.25
  5. Step 5: Solve for x
    x = 1,850,122.25/2,137.07
  6. Step 6: Final answer
    x = 865.73

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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.