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Finding the Fourth Proportional to 3,222.57, 4,841.96 and 2,053.10

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Solution

The fourth proportional to 3,222.57, 4,841.96 and 2,053.10 is: 3,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.57 : 4,841.96 = 2,053.10 : x
  2. Step 2: Convert to fraction form
    3,222.57/4,841.96 = 2,053.10/x
  3. Step 3: Cross multiply
    3,222.57x = 4,841.96 × 2,053.10
  4. Step 4: Simplify right side
    3,222.57x = 9,941,028.08
  5. Step 5: Solve for x
    x = 9,941,028.08/3,222.57
  6. Step 6: Final answer
    x = 3,084.81

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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.