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Finding the Fourth Proportional to 3,272.48, 4,516 and 1,780.40

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Solution

The fourth proportional to 3,272.48, 4,516 and 1,780.40 is: 2,456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.48 : 4,516 = 1,780.40 : x
  2. Step 2: Convert to fraction form
    3,272.48/4,516 = 1,780.40/x
  3. Step 3: Cross multiply
    3,272.48x = 4,516 × 1,780.40
  4. Step 4: Simplify right side
    3,272.48x = 8,040,286.40
  5. Step 5: Solve for x
    x = 8,040,286.40/3,272.48
  6. Step 6: Final answer
    x = 2,456.94

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