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Finding the Fourth Proportional to 3,257.83, 4,495.82 and 1,765.74

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Solution

The fourth proportional to 3,257.83, 4,495.82 and 1,765.74 is: 2,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.83 : 4,495.82 = 1,765.74 : x
  2. Step 2: Convert to fraction form
    3,257.83/4,495.82 = 1,765.74/x
  3. Step 3: Cross multiply
    3,257.83x = 4,495.82 × 1,765.74
  4. Step 4: Simplify right side
    3,257.83x = 7,938,440.38
  5. Step 5: Solve for x
    x = 7,938,440.38/3,257.83
  6. Step 6: Final answer
    x = 2,436.73

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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.