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Finding the Fourth Proportional to 3,210.89, 4,817.30 and 1,651.95

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Solution

The fourth proportional to 3,210.89, 4,817.30 and 1,651.95 is: 2,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.89 : 4,817.30 = 1,651.95 : x
  2. Step 2: Convert to fraction form
    3,210.89/4,817.30 = 1,651.95/x
  3. Step 3: Cross multiply
    3,210.89x = 4,817.30 × 1,651.95
  4. Step 4: Simplify right side
    3,210.89x = 7,957,930.48
  5. Step 5: Solve for x
    x = 7,957,930.48/3,210.89
  6. Step 6: Final answer
    x = 2,478.42

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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.