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Finding the Fourth Proportional to 2,137.20, 3,205.82 and 577.18

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Solution

The fourth proportional to 2,137.20, 3,205.82 and 577.18 is: 865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.20 : 3,205.82 = 577.18 : x
  2. Step 2: Convert to fraction form
    2,137.20/3,205.82 = 577.18/x
  3. Step 3: Cross multiply
    2,137.20x = 3,205.82 × 577.18
  4. Step 4: Simplify right side
    2,137.20x = 1,850,335.19
  5. Step 5: Solve for x
    x = 1,850,335.19/2,137.20
  6. Step 6: Final answer
    x = 865.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.