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Finding the Fourth Proportional to 3,265.54, 4,897.92 and 1,620.40

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Solution

The fourth proportional to 3,265.54, 4,897.92 and 1,620.40 is: 2,430.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.54 : 4,897.92 = 1,620.40 : x
  2. Step 2: Convert to fraction form
    3,265.54/4,897.92 = 1,620.40/x
  3. Step 3: Cross multiply
    3,265.54x = 4,897.92 × 1,620.40
  4. Step 4: Simplify right side
    3,265.54x = 7,936,589.57
  5. Step 5: Solve for x
    x = 7,936,589.57/3,265.54
  6. Step 6: Final answer
    x = 2,430.41

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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.